Step 1: Find the radius of the circle PQR using the formula A = πr^2, where A is the area of the circle and r is the radius.
72 = πr^2
r^2 = 72/π
r ≈ 4.29 cm
Step 2: Find the area of the sector POQ using the formula A = (θ/360)πr^2, where θ is the central angle in degrees.
A = (40/360)π(4.29)^2
A ≈ 2.28 cm^2
Therefore, the area of sector POQ is approximately 2.28 cm^2.
The area of circle PQR with centre O is 72cm2. What is the area of sector POQ if angle POQ=40 degree?
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