Calculating Areas of Sectors: A Grade 8 Challenge

A pizza has a radius of 10 inches. If a slice represents a 45-degree angle, what is the area of that slice?

• 5π square inches

• 20π square inches

• 12.5π square inches

• 10π square inches

A circular garden has a radius of 8 feet. If a sector of the garden is 90 degrees, what is the area of that sector?

• 8π square feet

• 32π square feet

• 16π square feet

• 24π square feet

A clock face has a radius of 12 inches. What is the area of the sector formed by the hour hand at 3 o'clock?

• 24π square inches

• 12π square inches

• 48π square inches

• 36π square inches

A circular swimming pool has a diameter of 20 meters. If a section of the pool is 120 degrees, what is the area of that section?

• 90 square meters

• 50 square meters

• 104.72 square meters

• 78.54 square meters

A pie chart shows the distribution of fruits in a basket. If the sector for apples is 60 degrees and the radius of the chart is 5 inches, what is the area of the apple sector?

• 10.50 square inches

• 15.70 square inches

• 20.00 square inches

• 13.09 square inches

A circular track has a radius of 15 meters. If a runner completes a 90-degree turn, what area of the track does the runner cover?

• 30π square meters

• 45π square meters

• 56.25π square meters

• 75π square meters

A circular pizza has a radius of 14 inches. If a slice is cut that represents 30 degrees, what is the area of that slice?

• 28.27 square inches

• 100.50 square inches

• 51.27 square inches

• 75.40 square inches

A circular fountain has a radius of 10 feet. If a section of the fountain is 150 degrees, what is the area of that section?

• 75 square feet

• 100 square feet

• 200 square feet

• 130.9 square feet

A sector of a circular field has a central angle of 120 degrees and a radius of 9 meters. What is the area of that sector?

• 9π square meters

• 36π square meters

• 27π square meters

• 18π square meters

A circular cake has a radius of 6 inches. If a piece is cut that represents a 75-degree angle, what is the area of that piece?

• 15π square inches

• 7.5π square inches

• 3.75π square inches

• 6π square inches