# 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 = θr^{2}/2 where θ = Angle measure and r = radius

**Step3:**

But Given r = 10 inches and θ = π/6

Area = (π/6) × 10^{2}/2

Area = π × 10^{2}/12 in^{2}

Area = 100π/12 in^{2}

Area = 8.33π in^{2}

## 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 in^{2}