Find the area of the sector if m∠ A = π/6 and the circle has a radius of 10 inches.

Solution:

Step1:

Given the measure of angle A is π / 6

The radius of the circle is 10 inches.

Step2:

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

Step3:

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

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Find the area of the sector if m∠ A = π 6 and the circle has a radius of 10 inches.

Summary:

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