L10-1 Arcs and Sectors

Calculate the arc length of a circle with radius 5 cm and a central angle of 60 degrees.

• 3.14 cm

• 5.24 cm

• 7.82 cm

• 10.48 cm

Find the area of a sector in a circle with radius 8 cm and a central angle of 45 degrees.

• 8π cm^2

• 4π cm^2

• 64π cm^2

• 16π cm^2

Identify the central angle in a circle if the arc length is 12 cm and the radius is 4 cm.

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

Apply the formula to find the arc length in a circle with radius 10 cm and a central angle of 120 degrees.

• 25pi/3 cm

• 20pi/3 cm

• 15pi cm

• 10pi cm

Solve the word problem: A bicycle wheel has a radius of 30 cm. If the rider travels 100 meters, how many complete revolutions does the wheel make?

• 45.67

• 60.32

• 75.89

• 53.05

Understand the concept of radians in a circle and convert 90 degrees to radians.

• 180/pi

• pi/4

• 2pi

• pi/2

Calculate the arc length of a circle with radius 6 cm and a central angle of 150 degrees.

• Arc length = 2 * π * 6 * (150 / 360) = 9π cm

• Arc length = 2 * π * 6 * (150 / 360) = 3π cm

• Arc length = 2 * π * 6 * (150 / 360) = 6π cm

• Arc length = 2 * π * 6 * (150 / 360) = 12π cm

Find the area of a sector in a circle with radius 12 cm and a central angle of 30 degrees.

• 12π cm^2

• 144π cm^2

• 360 cm^2

• 24π cm^2

Identify the central angle in a circle if the arc length is 15 cm and the radius is 5 cm.

• 360 degrees

• 540 degrees

• 180 degrees

• 90 degrees

Apply the formula to find the arc length in a circle with radius 15 cm and a central angle of 90 degrees.

• 45π cm

• 15π cm

• 60π cm

• 30π cm