Calculating Sector Areas: Convert Degrees to Radians

A pizza has a radius of 10 inches. If a slice represents a central angle of 60 degrees, what is the area of that slice in square inches? (Use the formula A = 1/2 * r^2 * θ, and convert degrees to radians.)

• 40.00

• 30.00

• 75.00

• 52.36

A circular garden has a radius of 5 meters. If a section of the garden is cut out with a central angle of 90 degrees, what is the area of that section? (Convert degrees to radians first.)

• 10π square meters

• 15π square meters

• 5π square meters

• 12.5π square meters

A clock face has a radius of 12 inches. What is the area of the sector formed by the minute hand when it moves from 12 to 3 o'clock? (The angle is 90 degrees.)

• 12π square inches

• 24π square inches

• 36π square inches

• 18π square inches

A circular swimming pool has a radius of 8 feet. If a section of the pool is shaded by a canopy that covers a central angle of 120 degrees, what is the area of the shaded section? (Convert degrees to radians.)

• 16π square feet

• 21.33π square feet

• 10.67π square feet

• 32π square feet

A pie chart represents the sales of different fruits. If the section for apples has a central angle of 45 degrees and the radius of the chart is 10 cm, what is the area of the apple section? (Use the area formula for a sector.)

• 25.12 cm²

• 31.42 cm²

• 39.25 cm²

• 50.00 cm²

A circular track has a radius of 15 meters. If a runner completes a lap that covers a central angle of 180 degrees, what is the area of the sector they ran? (Convert degrees to radians before calculating.)

• 180π square meters

• 45π square meters

• 112.5π square meters

• 90π square meters

A circular pizza has a radius of 14 inches. If a slice has a central angle of 30 degrees, what is the area of that slice? (Remember to convert degrees to radians.)

• 75.40 square inches

• 42.00 square inches

• 28.26 square inches

• 51.83 square inches

A circular fountain has a radius of 6 feet. If a section of the fountain is decorated with flowers and has a central angle of 150 degrees, what is the area of that section? (Use the area formula for a sector.)

• 18π square feet

• 30π square feet

• 12π square feet

• 15π square feet

A circular cake has a radius of 9 inches. If a piece of the cake is cut with a central angle of 120 degrees, what is the area of that piece? (Convert degrees to radians first.)

• 9π square inches

• 27π square inches

• 18π square inches

• 36π square inches

A circular field has a radius of 20 meters. If a section of the field is used for a picnic with a central angle of 75 degrees, what is the area of the picnic section? (Use the area formula for a sector.)

• 50.24 square meters

• 30.00 square meters

• 82.67 square meters

• 100.00 square meters