Question

An arc of length 10 meters is formed by a central angle A on a circle of radius 4. The measure of A in degrees (to two decimal places) is _____. A. 216.76 B. 143.24 C. 2.50 D. 36.76

Answer 1

arc length = circumference • [central angle (degrees) ÷ 360]

central angle (degrees) = 360 * arc length / circumference
circumference = PI * 2 * 4 = 25.1327412287

central angle (degrees) = 360 * 10 / 25.1327412287
central angle (degrees) = 143.2394487828

answer is B