Sector Area Challenges: Degrees to Radians for Grade 8

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?

• 50π/3 square inches

• 30π square inches

• 40 square inches

• 20π/3 square inches

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?

• 15.707963267949466 square meters

• 25.1327412287191 square meters

• 31.41592653589793 square meters

• 19.634954084936208 square meters

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 (30 degrees)?

• 24π cm²

• 6π cm²

• 12π cm²

• 15π cm²

A circular swimming pool has a diameter of 20 feet. If a section of the pool is shaded by an umbrella covering a 120-degree angle, what is the area of the shaded sector?

• 50π square feet

• 30π square feet

• 100π/3 square feet

• 80π/3 square feet

A cake is shaped like a circle with a radius of 8 inches. If a piece of the cake is cut out with a central angle of 45 degrees, what is the area of that piece?

• 16π square inches

• 4π square inches

• 8π square inches

• 2π square inches

A circular track has a radius of 15 meters. If a runner completes a lap covering a sector of 150 degrees, what is the area of the sector they ran?

• 45π square meters

• 100π square meters

• 78.125π square meters

• 60π square meters

A circular fountain has a radius of 4 meters. If a section of the fountain is decorated with flowers covering a central angle of 135 degrees, what is the area of that section?

• 10π square meters

• 4π square meters

• 6π square meters

• 8π square meters

A circular pizza has a radius of 14 inches. If a slice has a central angle of 75 degrees, calculate the area of the pizza slice. Convert the angle to radians first.

• 25π square inches

• 41.25π square inches

• 30π square inches

• 50π square inches

A circular garden has a radius of 10 meters. If a segment of the garden is used for a flower bed with a central angle of 60 degrees, what is the area of the flower bed?

• 40.00 square meters

• 75.00 square meters

• 30.00 square meters

• 52.36 square meters

A circular wheel has a radius of 2 feet. If a sector of the wheel is painted with a central angle of 90 degrees, what is the area of the painted sector?

• 6.28 square feet

• 4.19 square feet

• 3.14 square feet

• 1.57 square feet