Question

PLEASE HELP

Give an exact answer in terms of , and be sure to include the correct unit in your answer.

Answer 1

5π yd

Explanation:

Given:

A circle

K - center

r (radius) = 3 yd

∠LKM = 60°

Find: arc LNM - ?

Since K is the center of the circle, ∠LKM is the central angle, that's why the size of the central angle is equal to the size of the arc on which it rests

∠LKM = arc LM = 60°

Since the whole circle forms an angle of 360°, we can find the angle of arc LNM:

360° - 60° = 300°

Now, we can find the length of this arc by using this formula:

`l(arc \: length) = (2\pi * r * \alpha )/(360°)`

r = 3 yd

α = 300°

l = 2π × 3 × 300° / 360° = 5π yd