Question

Use the below diagram to find the area of the shaded region if the radius of the circle is 92 inches and the measure of angle ABC is 7pi/15

Answer 1

The area of the shaded region of the circle is 10.972 square inches.

What is the Area of the Sector?

The formula for area of a circle sector is;

A = (θ/360) * πr²

We are given;

Radius of circle = 92 inches

Central angle = 7π/15

Thus;

Area of given sector = (7π/15)/360 * π * 92²

Area of given sector = 7π/15 * 1/360 * π * 92²

Area of given sector = 10.972 square inches

Thus, we can conclude that the area of the shaded region of the circle is 10.972 square inches.

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