Question

A student measures an angle that turns through 29 360 29360 of a circle. The student says the angle measures 29°. Is the student correct or incorrect and why?

Answer 1

I think you have a typo in your problem. I believe you are asking about 29% of the circle.

In that case, it would by 29% of 360 or 0.29 x 360 = 104.4

29% is not the same as 29 degrees.

Answer 2

He's correct.

Explanation:

The angles turns 29/360 of a circle, which means the angle turns 29° out of 360°.

Remember that 360° is the maximum measure of an angle, because it represents a complete revolution.

So, the given fraction is a ratio between the angle movement and the total movement possible.

Therefore, the student is correct, the angle is 29°.