Trigonometry

Question

Find the area of a sector of a circle if the central angle measures 225 degrees and the radius measure 12 inches.

Answer Choices:

360pi inches ^2

90 pi inches ^2

1,440 pi inches ^2

180 pi inches^2

Find the area of a sector of a circle if the central angle measures 45 degrees and the radius measures 12 inches

Answer 1

Step 1:

The sector of a circle center angle is and radius is .

Find the area of a sector of a circle.

General formula for the area of a sector of a circle is

Substitute angle is and radius is in the above formula.

The area of a sector of a circle is

Second choice is right answer.

Step 2:

The sector of a circle center angle is and radius is .

Substitute angle is and radius is in the area of a sector of a circle formula.

The area of a sector of a circle is

Solution:

The area of a sector of a circle measures angle and radius is

The area of a sector of a circle measures angle and radius is