Question

Fill in the blank.

The area A of a sector of a circle with radius r and central angle , where is measured in radians, is given by the formula _________.

A = r2

A =
1
2
r2


A = r2

A =
1
2
r2

A =
1
2
r2

Answer 1

Example 1: If the angle of a sector of a circle is 60°, and the radius of the circle is 7 inches, what is the area of the sector of this circle?

Solution:

The radius of the circle is 7 inches and the angle is 60°. So, let us use the area of sector formula. The area of sector = (θ/360°) × π r2 = (60°/360°) × (22/7) × 72 = 77/3 = 25.67 square units. Therefore, the area of the minor sector is 25.67 square units.