Real-World Applications of Arc Length and Sector Area

A circular park has a radius of 10 meters. If a path is built along a 60-degree sector of the park, what is the length of the path?

• 15π/3 meters

• 20 meters

• 10π/3 meters

• 5π meters

A pizza has a diameter of 12 inches. If a slice of pizza represents a 45-degree angle, what is the area of that slice?

• 3π square inches

• 4.5π square inches

• 9π square inches

• 6π square inches

A clock has a minute hand that is 15 cm long. How far does the tip of the minute hand travel in 10 minutes?

• 15.71 cm

• 30.42 cm

• 12.56 cm

• 25.13 cm

A circular swimming pool has a radius of 8 feet. If a section of the pool is shaded by a canopy covering a 90-degree sector, what is the area of the shaded section?

• 24π square feet

• 32π square feet

• 16π square feet

• 8π square feet

A bicycle wheel has a radius of 0.35 meters. How far does the bicycle travel after making 5 complete revolutions?

• 15.2 meters

• 12.5 meters

• 8.5 meters

• 10.995 meters

A sector of a circle has a radius of 5 cm and a central angle of 120 degrees. Calculate the area of the sector.

• 26.18 cm²

• 20.00 cm²

• 31.42 cm²

• 15.70 cm²

A garden is designed in the shape of a circular sector with a radius of 4 meters and a central angle of 150 degrees. What is the arc length of the garden's boundary?

• 15.70 meters

• 10.47 meters

• 8.25 meters

• 12.56 meters

A Ferris wheel has a radius of 20 meters. If a passenger rides for a quarter of a revolution, how far do they travel along the arc?

• 25.12 meters

• 15.70 meters

• 40.00 meters

• 31.42 meters

A circular track has a radius of 50 meters. If a runner completes a lap that covers a 270-degree arc, what is the length of the arc they ran?

• 180.00 meters

• 235.62 meters

• 150.80 meters

• 300.00 meters

A sector of a circle has an area of 25 square meters and a radius of 10 meters. What is the measure of the central angle of the sector in degrees?

• 60

• 45

• 28.65

• 15