Find the area of the sector if m∠ A = π/6 and the circle has a radius of 10 inches.
Given the measure of angle A is π / 6
The radius of the circle is 10 inches.
The area of the sector, when the measure of the central angle is in radians, can be solved using the condition
Area = θr2/2 where θ = Angle measure and r = radius
But Given r = 10 inches and θ = π/6
Area = (π/6) × 102/2
Area = π × 102/12 in2
Area = 100π/12 in2
Area = 8.33π in2
Find the area of the sector if m∠ A = π 6 and the circle has a radius of 10 inches.
Therefore, the area of the sector with the central angle measuring π/6 with the radius of the circle 10 inches is 8.33π in2