Question

An angle measuring 75° turns through a circle. Write the fraction for how much of the circle the angle turns through.

Answer 1

you should know that a whole circle consists of 360 degrees. Since the problem states that an angle measures 75 degrees you would then realize it is 75 degrees out of 360 degrees, or 75/360. This simplifies to 5/24.

Answer 2

Answer: The angle turns through
`(5)/(24)` of the circle.

Explanation:

Since we have given that

An angle measuring through a circle by turning = 75°

We know that angle formed by whole circle is 360°.

So, Fraction of the angle turns through

`(Angle\ rotation)/(Total\ angle)`

`=(75)/(360)\\\\=(5)/(24)`

Hence, The angle turns through
`(5)/(24)` of the circle.