Arc Length, Sector Area, Linear and Angular Speed

A region bounded by two radii of the circle and their intercepted arc is a ...

• arc of a circle

• sector of a circle

• arc length of a circle

• segment of a circle

In a​ circle, a 90° sector has area 64π in². What is the radius of the​ circle?

• 16 in

• 32 in

• 64 in

• 128 in

• 6.3 in

• 6.2 in

• 0.1 in

• 0.2 in

• 575 cm

• 10 cm

• 10.1 cm

• 575.4 cm

The diameter of each tire on a vehicle is 32 inches. If the tires are moving at a rate of 800 revolutions per minute, find the linear speed of the vehicle.

The drum of a washing machine spins at 1.200 revolutions per minute. If the diameter of the drum is 76 cm, find the angular speed of the drum.

Calculate the length of an arc with radius 15 cm and central angle of 30°.

• 450 cm

• 5π/2 cm or ≈ 7.9 cm

• 225 cm

• 5π/4 cm or ≈ 3.9 cm

Determine the central angle if the arc length is 10 cm and the radius is 5 cm.

• 2°

• not possible ... "s" is too small

• ≈ 114.6°

• 360°