a circle of radius, r, with a sector of 45° shaded.

(a) Find the length of the arc of the colored sector in the figure when r = 7 cm
(b) Find the area A of the sector when r = 7 cm

1 answer

45º / 360º = 1/8

(a) 1/8 of the circumference ... 1/8 * 2 * π * r

(b) 1/8 of the circle area ... 1/8 * π * r^2