circumference of 1/8th of a circle.

Question

The image shows 1/8 of a circle. The radius of the circle is 30 centimeters. Find the distance the figure.

Answer 1

circumference=piD=2pi(r)=2pi(30)=60pi

1/8 x 60pi= (15/2)pi= 7.5pi cm

arc length = radius times angle in radians = 7.5pi= 30Theta

Theta= 7.5pi/30= pi/4 = 45 degrees

area = (1/8)pi(30^2)=(900/8)pi=(225/2)pi= 112.5pi cm^2