Question

Suppose you know the area of a circle and the measure of the central angle of a sector. Describe the process of finding the area of the sector.

Divide the measure of the central angle by (Drop-Down Menu Choices: 180,90,360) and multiply the result by the (Drop-Down Menu Choices: Area, Circumference, Radius) of the circle.

Answer 1

360

Area

Explanation:

The formula of the area of a sector in a circle is:

Area of sector =
`(x)/(360)` × πr², where

• x is the central angle of the sector
• πr² is the area of the sector

Example:

The measure of a central angle is 60°, and the area of the circle is 12π unit², then the area of the sector of the central angle is:

Area of the sector =
`(60)/(360)` × 12π = 2π

To find the area of the sector

Divide the measure of the central angle by 360

Multiply the result by Area of the circle