precalculus need help

Question

A sector of a circle has a central angle of . Find the area of the sector if the radius of the circle is 12 cm.   cm²

Answer 1

Area of a circle with radius 12 is 144pi cm^2. Area of a circle is pi(r^2)

30 degrees = 30/360 = 1/12 of a circle in area.

144pi/12 = 12pi cm^2 = the area of a sector with 30 degrees and radius 12 cm

12pi = about 12(3.14159) = about 37.7 cm^2