Calculating Sectors: Area Formulas in Real-Life Scenarios

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

• 25.12 square inches

• 62.83 square inches

• 39.25 square inches

• 15.70 square inches

A circular garden has a radius of 8 feet. If a section of the garden is to be used for a fountain and covers a 90-degree angle, what is the area of that section?

• 32π square feet

• 16π square feet

• 12π square feet

• 8π square feet

A clock has a minute hand that is 12 inches long. What is the area of the sector formed by the minute hand when it moves from 12:00 to 1:00?

• 12π square inches

• 6π square inches

• 24π square inches

• 3π square inches

A circular swimming pool has a diameter of 20 meters. If a section of the pool is roped off for a party, covering a 120-degree angle, what is the area of that section?

• 50.24 square meters

• 90.00 square meters

• 78.54 square meters

• 104.72 square meters

A sector of a circular track has a radius of 15 meters and spans an angle of 60 degrees. Calculate the area of this sector.

• 90 square meters

• 150 square meters

• 75 square meters

• 117.81 square meters

A pie chart representing a survey has a sector that covers 30% of the circle. If the radius of the circle is 10 cm, what is the area of that sector?

• 35π cm²

• 30π cm²

• 15π cm²

• 25π cm²

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

• 51.2 square inches

• 78.5 square inches

• 35.4 square inches

• 28.3 square inches

A circular flower bed has a radius of 5 feet. If a section of the bed is designated for planting roses and covers a 150-degree angle, what is the area of that section?

• 32.72 square feet

• 25.00 square feet

• 40.00 square feet

• 50.00 square feet

A round table has a diameter of 1.2 meters. If a decorative piece is placed on a sector that covers 90 degrees, what is the area of that sector?

• 0.7853981633974483 square meters

• 0.6283185307179586 square meters

• 0.942477981048751 square meters

• 0.2827433388230818 square meters

A circular pond has a radius of 9 meters. If a section of the pond is used for a small boat and covers a 75-degree angle, what is the area of that section?

• 75.50 square meters

• 52.93 square meters

• 60.25 square meters

• 45.00 square meters