Question

Part C: YX = 24 meters and mYX = 120 degrees , then determine the radius of circle H.

Answer 1

Answer: The radius is 11.5 meters (to the nearest tenth)

Step-by-step explanation: The circle with center H has an arc TX that measures 24 meters, and also the angle subtended by YX equals 120°.

The length of an arc is given b the formula;

Length of arc = (∅/360) x 2πr

Where the length of the arc is 24 and ∅ is 120, the formula becomes;

24 = (120/360) x 2(3.14) r

24 = (1/3) x 6.28 r

By cross multiplication we now have,

(24 x 3)/6.28 = r

72/6.28 = r

11.4649 = r

r ≈ 11.5

Therefore, the radius is approximately 11.5 meters