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

Mathematics

2 answers:

Leona [35]3 years ago

6 0

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!

AlexFokin [52]3 years ago

5 0

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°

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