Question

How many degrees are in an angle that turns through 1/3 of a circle?

Answer 1

Hello!

We know that, in terms of radians and degrees, that an angle that turns through the entirety of a circle is 360 degrees. To find 1/3 of it, we just multiply by 1/3.

360(1/3)=120

Therefore, our answer is 120°.

I hope this helps!

Answer 2

Answer:

the angle that turns through 1/3 of a circle is 120°

Step-by-step explanation:

The angle at the center of the circle is 360°

when the circle turns 1/3 the angle formed is

                                              = $\dfrac{1}{3}$× angle of the circle

                                              = $\dfrac{1}{3} \times 360^0$

                                              = 120°                                      

hence, the angle that turns through 1/3 of a circle is 120°