Question

in a circle, a 60° sector has an area of a 36π cm^2. find the radius of the circle. round your answer to the nearest whole centimeter. a) 11 cm b) 12 cm c) 13 cm d) 15 cm

Answer 1

Area of circle = $\frac{ \theta }{360^o} \times \pi r^2 \\ 36 \pi = \frac{60^o}{360^o} \times \pi r^2 \\ r^2=216 \\ r= \sqrt{216} =14.70 \ cm \\ r=15 \ cm \ to \ the \ nearest \ whole \ centimeter.$