The area of a circle PQR with centre O is 72cm^2. What is the area of a sector POQ if PÔQ=40⁰

2 answers

8cm^2
Area of the circle PQR = 72 cm²

Area of the sector POQ = Area of the circle ∙ 40° / 360° = 72 ∙ 40 ∙ 1 / 40 ∙ 9 = 72 / 9 = 8 cm²