Mastering Sector Area Calculations for 8th Graders

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

• 12.5π square inches

• 20π 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?

• 16π square feet

• 12π square feet

• 32π square feet

• 8π square feet

A clock face has a radius of 12 cm. What is the area of the sector formed by the hour hand when it moves from 3 o'clock to 4 o'clock?

• 24π cm²

• 6π cm²

• 18 cm²

• 12π cm²

A circular swimming pool has a diameter of 20 meters. If a sector of the pool is 120 degrees, calculate the area of that sector.

• 104.72 square meters

• 90 square meters

• 50 square meters

• 78.54 square meters

A pie chart represents the sales of different fruits. 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?

• 15.70 square inches

• 13.09 square inches

• 20.00 square inches

• 10.50 square inches

A circular track has a radius of 15 meters. If a runner completes a 90-degree turn, what is the area of the sector they covered?

• 30π square meters

• 75π square meters

• 45π square meters

• 56.25π square meters

A circular piece of art has a radius of 7 feet. If a sector of the art piece is 30 degrees, what is the area of that sector?

• 14π square feet

• 12.25π square feet

• 15.5π square feet

• 7π square feet

A round table has a radius of 4 feet. If a sector of the table is 150 degrees, what is the area of that sector?

• 30.15928947422836 square feet

• 20.94395102393195 square feet

• 15.70796326794946 square feet

• 25.1327412287191 square feet

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

• 28.27 square inches

• 51.57 square inches

• 35.14 square inches

• 78.54 square inches

A circular fountain has a radius of 10 meters. If a sector of the fountain is 180 degrees, calculate the area of that sector.

• 50π square meters

• 20π square meters

• 30π square meters

• 40π square meters