Circles & Sectors: Degrees, Radians, and Real-World Problems

A pizza has a diameter of 12 inches. What is the radius of the pizza in inches?

• 4 inches

• 6 inches

• 10 inches

• 8 inches

If a circle has a radius of 5 cm, what is the circumference? (Use π = 3.14)

• 25.0 cm

• 31.4 cm

• 31.0 cm

• 40.0 cm

Convert 90 degrees to radians.

• 3π/2

• π

• π/4

• π/2

A circular garden has a radius of 10 meters. What is the area of the garden? (Use π = 3.14)

• 314 square meters

• 3140 square meters

• 200 square meters

• 78.5 square meters

If a sector of a circle has a central angle of 60 degrees and a radius of 4 meters, what is the area of the sector? (Use π = 3.14)

• 8.04 square meters

• 12.56 square meters

• 4.19 square meters

• 6.28 square meters

Convert 180 degrees to radians.

• 45 degrees

• 2π

• π

• 90 degrees

A clock's minute hand is 6 inches long. How far does the tip of the minute hand travel in one complete revolution?

• 18 inches

• 24 inches

• 6π inches

• 12π inches

If a circular track has a circumference of 400 meters, what is the radius of the track? (Use π = 3.14)

• 63.66 meters

• 50 meters

• 80 meters

• 100 meters

Convert 270 degrees to radians.

• 3π/2

• 90 degrees

• π radians

• 180 degrees

A pie chart represents 120 degrees of a circle. What fraction of the whole circle does this represent?

• 2/3

• 1/4

• 1/3

• 1/2