Area of a Segment of a Circle Worksheet

Area of a Segment of a Circle

Read each question carefully and calculate the area of the shaded segment of the circle. Round your answers to two decimal places where necessary. Use π ≈ 3.14.

1. A circle has a radius of 10 cm. A central angle of 90° subtends a sector. Find the area of the circular segment formed by this sector.

2. Calculate the area of a circular segment if the radius of the circle is 12 inches and the central angle is 60°.

3. A chord of a circle of radius 15 mm makes an angle of 120° at the center. Find the area of the minor segment.

4. The area of a circular segment is found by subtracting the area of the   from the area of the  .

5. If the central angle is 180°, the segment is a  .

6. The area of a segment can be calculated by (θ/360)πr² - (1/2)r²sin(θ), where θ is in degrees.