Question

The sector of a circle with a 12-inch radius has a central angle measure of 60

What is the exact area of the sector in terms of pi

Answer 1

24 π square inches

Explanation:

The area of a circule is give by the formula A = π r²

Since we have a angle of 60 degrees, that represent 1/6th of the whole area (60 / 360 degrees).

A circle = π * 12² = 144 π square inches

Area of the portion representing 60 degrees of the circle, can easily be calculated with a cross-multiplication:

`(x)/(144\pi ) = (60)/(360)`

x = 144 π / 6 = 24 π square inches