Question

The length of an arc is 1/10 of the circumference of the circle if the area of the circle is 13.86cm² find:a) the angle subtended by the arc at the center of the circle. b)the area of the sector enclosed by the arc

Answer 1

13.86 = πr²

r = about 2.1 cm

a) (1/10)(360°) = 36° = 36(π/180) = π/5

b) A = 13.86/5 = 2.772 cm²