Real-World Sector Area Challenges for Grade 8

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

• 15.70 square inches

• 39.25 square inches

• 25.12 square inches

• 62.83 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

• 24π 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 at 3 o'clock?

• 24π cm²

• 36π cm²

• 12π cm²

• 48π 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.

• 78.54 square meters

• 90 square meters

• 104.72 square meters

• 50 square meters

A pie chart representing sales data has a radius of 5 inches. If one sector represents 60 degrees, what is the area of that sector?

• 20.25 square inches

• 10.50 square inches

• 13.09 square inches

• 15.70 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

• 56.25π square meters

• 75π square meters

• 45π square meters

A round table has a radius of 4 feet. If a sector of the table is 30 degrees, what is the area of that sector?

• approximately 2.09 square feet

• approximately 4.19 square feet

• approximately 6.28 square feet

• approximately 3.14 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

• 35.14 square inches

• 51.57 square inches

• 78.54 square inches

A circular flower bed has a radius of 6 meters. If a sector of the bed is 150 degrees, what is the area of that sector?

• 12π square meters

• 30π square meters

• 15π square meters

• 20π square meters

A circular fountain has a radius of 10 feet. If a sector of the fountain is 45 degrees, what is the area of that sector?

• 12.5π square feet

• 15π square feet

• 5π square feet

• 20π square feet