An arc of length 30 meters is formed by a central angle A on a circle of radius 15. The measure of A in degrees (to two decimal places) is (Points : 5)

0.50
28.65
114.59
0.01

1 answer

arclength = rØ, where r is the radius, and Ø is the central angle in radians

30 = 15Ø
Ø = 30/15 or 2 radians

π radians = 180°
so 2 radians = 2(180/π)° = appr 114.59°