Noah Used A Bar Diagram To Find The Measure Of An Angle That Turns Through 1/5 Of A Circle. Write An (2023)

Mathematics Middle School


Answer 1

The measure of the angle that turns through 1/5 of a circle would be: 1/5 × 360° = 72°.

What is the Measure of a Circle?

A full circle measures 360 degrees.

Equation to find the measure of an angle that turns 1/5 of a circle would be:

1/5 of 360°

= 1/5 × 360°

Measure of the angle = 360/5 = 72°

Therefore, the measure of the angle that turns through 1/5 of a circle would be: 1/5 × 360° = 72°.

Learn more about measure of circle on:

Answer 2

I am just guessing but...

Related Questions

Nadine and Walt are delivering the local newspaper throughout the town. Nadine is paid $15 per week plus $9.50 per hour, and Walt is paid $12 per week plus $10.25 per hour. Write expressions that represent how much Nadine and Walt are paid each week using h as the number of hours worked.


9.50h+15 for Nadine
10.25h+12 for Walt

It take Mara 50 minutes to walk to her friend's house 1 2/3 miles away. What is her walking pace in mph


The answer is 30 miles per hour since you have to divide 50 by 1 and 2/3

What is the unit rate of 286 miles in 5 in a half hours?


286/5.5=52 miles per hour

The answer is: " 52 mi / h "; or, write as: " 52 m.p.h. " .
"286 mi per 5.5 h " ; or, "(286 mi / 5.5 h)" ;

→ Convert to "miles per (unit hour, or single hour)" .
So; 286 mi / 5.5 h = (286/5.5) mi / h = "52 mi / h"; or, write as: "52 m.p.h." .

if Joshua's birthday is on the 5 and Marys is the 31 how many days are in between i want to knownif im right 21?is in between


You are incorrect. There are 26 days between the 5th and the 31st

Wendy's older brother is buying a car.He can make 24 payments of $95 or 30 payments of $80 each. Which costs less?How much less.


24 payments of $95 would cost $120 less.

First 94x24 then 30x94 then subtract both answers

The amount of snow on the ground increased by 4 inches between 4 p.m and 6 p.m. If there was 6 inches of snow on the ground at 4 p.m how many inches were on t he ground at 6 p.m? (Show work!!)


10 inches because at 4 pm it was 6 inches but since it says it increases 4 inches during the times 4 PM through 6 PM it should've gone up another 4 inches. 6 plus 4 equals 10. ?????????

harvey wants to buy a gift for his father that costs $35.92 and a gift for his sister that costs $52.08 he saved $16.28. how much more does he need to save in order to buy the hifts


The answer of this question is 71.72 dollars

The answer is 71.72 question

Mrs parker bought three pizzas for her class 27/8 of the pizza was eaten how many whole pizzas where. left and how many pizzas where left over


27/8 = 3 3/8
3 whole pizzas were left
5/8 is left over because 8/8 - 3/8 = 5/8

Solve the system of equations by substitution




Trinh has $14.44 in her school lunch account. She spends $7.75 on lunches and deposits $6.50. What is her new balance?A) $ 28.69 B) $13.81 C) $13.19 D) $0.19


your answer is C) $13.19

Has 14.44- spends 7.75
14.44 - 7.75 = 6.69
What she has left + newly depositing
6.69 + 6.50 = 13.19

Your answer will be
C) 13.19

mrs parker bought 3 pizzas for her class17/8 of the pizza was eaten how many whole pizzas slices where left over


If each pizza had 8 slices there would be seven slices left

How do you solve 5x +x


If you are just simplifying it it would be 6x because it's 5x plus one more x but if you are trying to find x then I have no idea

5x = x+x+x+x+x
So just add another x to make it

How many quarter miles are in half a mile?


2 quarter miles, 4 in 1 mile, so 4 divided by 2 to get the answer

A coin-operated machine sells plastic rings. It contains 6 yellow rings, 11 blue rings, 15 green rings, and 3 black rings. Sarah puts a coin into the machine. Find the theoretical probability she gets a black ring. Express your answer as a decimal. If necessary, round your answer to the nearest thousandth. A. 11.667 B. 0.171 C. 5.833 D. 0.086


Answer: D. 0.086

Step-by-step explanation:

Given : The number of black rings = 3

The total number of rings =

Now, Sarah puts a coin into the machine, then the theoretical probability she gets a black ring will be :-

Hence, the theoretical probability she gets a black ring = 0.086

3/35 chance of it happening so rounded would be D. 0.086 as the answer :)

Solve the system of equations by substitution



X equals 3 do you want an explanation

Substitute 3x - 7 for y in 2x + 5y = 16, then solve for x:
2x + 5(3x - 7) = 16

Distribute the 5:
2x + 15x - 35 = 16

Add like terms:
17x - 35 = 16

Add 35 on both sides:
17x = 51

Divide 17 on both sides:
x = 3

Now that we found that x = 3, we can substitute that into y = 3x - 7 to solve for y

y = 3(3) - 7
y = 9 - 7
y = 2

So y = 2, that means the solution to the system of equations is (3, 2).

Hope this helps! :)

Can a triangle have two right angles?


No, a triangle cannot have 2 right angles. The sum of all angles on a triangle must add up to 180. Triangles have 3 sides, so if a triangle had 2 right angles, which add up already to 180, the third side could not have a measurement. Hope this helps!

NO. It can not because it would have to be a square to connect again.

Nicole deposits $700 into an account that pays simple interest at a rate of 5% per year. How much interest will she be paid in the first 6 years?


$210 for 6 years but only $35 in one year

Joel has 24 sport trophies. Of the trophies,1/8 are soccer trophies.How many soccer trophies does Joel have? A:2


B 3 trophies
24 divided by 8 is 3

B 3 trophies
Because 24 divided by 3

What value of X satisfies the equation 4x+0.2=3


4x+0.2=3 First you subtract 0.2 from both sides and you get 2.8. After you divide 4 to both sides and you get 0.7

Which BEST describes the construction of a triangle if given the segment lengths of 3 cm, 5 cm, and 3 cm? A)Unique triangle
B)More than one triangle
C)Triangle not possible
D)Cannot be determined


A) unique triangle is the best description


A)Unique triangle

Step-by-step explanation:


What is an angle that turns through 1 360 of a circle? ›

An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles; An angle that turns through n one-degree angles is said to have an angle measure of n degrees.

How many degrees are in an angle that turns through of a circle? ›

Angle measure is based on a circle where a full turn around the circle is 360 degrees. Similarly, a half turn is 180 degrees, a fourth [quarter] turn is 90 degrees, and so on.

What is the measure of ∠ 2? ›

m∠2 = 68 , because vertical angles add up to 180 .

When a circle is divided into equal parts an angle turns through? ›

4. Angles are measured in units called degrees. The symbol for degrees is °. If a circle is divided into 360 equal parts, then an angle that turns through 1 part of the 360 measures 1°.

What angle is a 360 degree rotation? ›

360 Degree Angle

The 360∘ angle is known as a "full angle" because when measuring this angle it makes a full rotation, which means to move around all points or degrees of a circle. A "full angle" goes all the way around the circle, ending up where it began. All circles are 360 degrees around.

What is 360 rotation angle? ›

A 360-degree angle is called a complete angle, a full angle, or a full turn. It forms a circle around a point. A perfect example of a 360-degree angle is two hands of a clock at 12 o'clock.

What is the measure in degrees for 1 360? ›

A degree is a measurement of angle. One full rotation around the circle is equal to 360 degrees, so one degree is 1/360 of a circle.

What fraction of a full turn is 1? ›

If we think of one full rotation, it will be 360 degrees. If one full turn is 360 degrees, one-third of that will be the turn that Jacob made.

Why 360 degrees in a circle? ›

The degree is an arbitrary unit; basically any division of a circle would work as a system of measurement. The degree has the advantage that 360 divides evenly by 2, 3, 4, 5, 6, 8, 9 & 10 making it easy to mentally calculate an angle; indeed this is the major advantage of all old imperial units.

What is the measure of ∠ 1 and 2? ›

We have to find the measure of angle 1 and angle 2. By using the geometric property, The measure of the angle formed by 2 chords that intersect inside the circle is half the sum of the chord's intercepted arcs. Therefore, m∠1 = 50° and m∠2 = 130°.

What is the measure of ∠ 5? ›

⇒∠5=(180-79)°=101°. Hence, the measurement of angle 5 is 101°.

Are the angles 1 and 5 corresponding? ›

Angles 1 and 5 constitutes one of the pairs. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.

What do you call the line that divides an angle into two equal angles *? ›

The ray dividing an angle into two equal angles is called an angle bisector.

What do you call a line that divides one included angle into two equal angles it is drawn from vertex to the opposite side of the triangle? ›

Angle bisector. The angle bisector of an angle of a triangle is a straight line that divides the angle into two congruent angles.

What is a line that divides an angle into two equal parts called of the angle? ›

(a) bisector. A bisector of an angle divides the angle into two equal parts. Hence, (a) bisector is the correct option.

What is 1 half of a rotation? ›

You may recall from geometry that a full rotation is 360 degrees, usually written as 360°. Half a rotation is then 180° and a quarter rotation is 90°.

What is the angle rotation formula? ›

The angle of rotation between the two points or vertices is the number of central angles times the measure of a single central angle: angle of rotation =m×α = m × α .

What is 180 degree angle called? ›

Angles that are 180 degrees (θ = 180°) are known as straight angles. •

What is 360 rotation examples? ›

A full rotation is 360 degrees

It means turning around until you point in the same direction again. Other ways of saying it: "Doing a 360" means spinning around completely once (spinning around twice is a "720"). "I gave the wheel one complete turn looking for holes"

How do you calculate 360 degrees? ›

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees. First convert the percent to decimal. Now if you multiply 360 by 0.35, you get the degree measure that corresponds to the percentage, which is 126.

What is 1 360 degree of a complete rotation clockwise? ›

Therefore, a rotation of 1360 of a complete revolution is equivalent to 1∘ (1 degree).

How many degrees is angle 1? ›

A measure of one degree ( 1 ° ) is equivalent to a rotation of 1 360 of a complete revolution. To measure angles, it is convenient to mark degrees on the circumference of a circle . Thus, a complete revolution is 360 ° , half a revolution is 180 ° , a quarter of a revolution is 90 ° and so forth.

How do you solve 1 over a fraction? ›

Explanation: To find the reciprocal, take 1 and divide by the entire quantity of the fraction. The reciprocal is simply swapping the placement of the numerator and the denominator.

What is the meaning of 1 turn? ›

When saying one turn, it means to make a 360° movement with a wire around the core. 4 turns means 4x 360° movements.

How many right angles is 1 whole turn? ›

Thus, 360∘90∘=4 right angles make one full rotation as shown in the above figure.

Is a circle 180 or 360? ›

A complete trip around the edge of a circle is 360 degrees, which means that, if you were to complete a rotation around the central axis of your body, you would end up facing the same direction as when you started.

Why is a circle 90 degrees? ›

The more familiar unit of measurement is that of degrees. A circle is divided into 360 equal degrees, so that a right angle is 90°.

How long is 1 measure? ›

In this piece, each measure contains 3 beats : it can be 3 quarter notes, or 6 eighth notes, or any combination leading to 3 beats.

What does a measure of 1 mean? ›

A unit is any measurement that there is 1 of. So 1 meter is a unit.

How do you measure 1 to 2 parts? ›

1 part to 2 parts means that for every 1 part of an ingredient added, 2 parts of another are added. Making oatmeal is typically a 1 part to 2 parts recipe. 1 part oatmeal, 2 parts milk, stir, and microwave. That means for every 1 measure of oatmeal, 2 identical measures of milk are added.

What does 5 to the of 4 equal? ›

Solution: 5 to the Power of 4 is equal to 625

The “power” of a number indicates how many times the base would be multiplied by itself to reach the correct value. Therefore, 5 to the power of 4 is 625.

What is 1 5 in complementary angles? ›

Answer: 15º and 75º are the two complementary angles that have their measures in the ratio of 1 to 5.

When an angle is 1 by 5 of its complement? ›

Let the angle be x complement of x is (90° − x) One fifth of the complement angle is (90° − x)/5 Given x = (90° − x)/5 ⇒ 5x = 90° − x ⇒ 6x = 90° ⇒ x = 90°/ 6 = 15° Hence (90° − x) = (90° − 15°) = 75° Thus the angles are 15° and its complement is 75°.

What is the relation between 1 and 5? ›

Ones and Fives often enjoy each other's company and intellectual stimulation, loving to debate and admiring the intelligence and expertise exhibited by the other. Unexpectedly, they tickle each other's funny bone—this pair loves to laugh together at life's absurdities.

What are two angles across from one another where two lines intersect called? ›

Explanations (1)

When two lines intersect, they form four angles. The two angles that are directly across the intersection point from each other are called vertical angles.

Which of the following lines that cut split an angle side into equal parts? ›

A perpendicular bisector can be defined as a line segment which bisects another line segment at 90 degrees. In other words, a perpendicular bisector intersects another line segment at 90° and divides it into two equal parts.

What is it called when two angles form a line? ›

In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other. Adjacent angles are formed when two angles have a common vertex and a common arm but do not overlap. The linear pair of angles are always supplementary as they form on a straight line.

Which type of triangle will always have a perpendicular bisector that is also an angle bisector? ›

Isosceles Triangle Theorem Converse: The perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle.

What are the two angles formed when its two sides coincide or are in one line? ›

The two angles are said to be adjacent angles when they share the common vertex and side. The endpoint of the rays, forming the sides of an angle, is called the vertex of an angle. Adjacent angles can be a complementary angle or supplementary angle when they share the common vertex and side.

When a line bisects a segment then the segment is divided into two congruent parts? ›

The midpoint of a segment is a point that divides the segment into two congruent segments. A point (or segment, ray or line) that divides a segment into two congruent segments bisects the segment.

Which of the following term refers as a line that divides something into equal parts? ›

In Geometry, a “Bisector” is a line that divides the line into two different or equal parts. It is applied to the line segments and angles.

Which of the following terms refers as a line that divides into equal parts? ›

The line that divides something into two equal parts. You can bisect line segments, angles, and more.

What do you call the angle in matching corners when two lines cross by another line transversal? ›

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines and the transversal.

What are there 360 degrees in a circle? ›

Angular measurement in degrees or radians is given in reference to a circle, 360 degrees or 2 Pi radians being the measure one full revolution.

Which refers to a one 1 full turn 360 degrees? ›

One full revolution is equal to 360 degrees. Hence, the term “revolution” refers to a complete rotation or full turn of an item around an axis. Revolutions are often measured in degrees, and one full revolution is equivalent to 360 degrees.

What is a full rotation of 1 1? ›

A full rotation is 360 degrees
1 more row

What is the formula of 1 rotation? ›

The angle of rotation Δ θ Δ θ is the arc length divided by the radius of curvature. 1 revolution = 2 π 2 π rad = 360°.

What is the angle of one complete rotation? ›

Thus, 360∘90∘=4 right angles make one full rotation as shown in the above figure.

How much is 360 degrees in a circle? ›

There are 360 degrees in one Full Rotation (one complete circle around). Angles can also be measured in Radians.

What does 360 degrees mean? ›

A complete trip around the edge of a circle is 360 degrees, which means that, if you were to complete a rotation around the central axis of your body, you would end up facing the same direction as when you started.

Why is 360 degrees a degree? ›

The Mesopotamians passed their base-60 numerical system to the ancient Egyptians, who used it to divide a circle into 360 degrees, Mary Blocksma writes in her book Reading the Numbers. The 360-degree circle worked out great: The Egyptians loved perfect triangles, and exactly six of them fit into a circle.

How many 1 degree turns are in a full circle? ›

A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees.
Degree (angle)
1° in ...... is equal to ...
turns1360 turn
radiansπ180 rad ≈ 0.01745.. rad
milliradians50·π9 mrad ≈ 17.45.. mrad
8 more rows

What is a 1 right angle? ›

A right angle is an angle that is exactly equal to 90 degrees (or π/2) in measure.

Why is 360 degrees one rotation? ›

Given the Babylonian usage of 60 as their number base, they decided that each of the angles of an equilateral triangle would be 60 degrees. And thus, when you multiply these 60 degrees by the 6 equilateral triangles that combine to create a sort of circle, you get 6 x 60 = 360 degrees.


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