Arc Length, Sector Area, Linear and Angular Speed

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

Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.

• 9.2 sq. in.

• 10.5 sq. in.

• 31.4 sq. in.

• 38.2 sq. in.

Determine the linear velocity of the tips of the blades in inches per minute for a ceiling fan with 20 inch blades rotating at 45 rpm.

• 5654.9 in/min

• 1800 in/min

• 2827.4 in/min

• 900 in/min

A ceiling fan has 18 inch blades and turns at a rate of 45 revolutions per minute.  What is the angular speed in radians per hour?

• 90π rad / 1 hr

• 2700π rad / 1 hr

• 5400π rad / 1 hr

• 97200π rad / 1 hr

FIND THE SECTOR AREA OUTLINED IN BOLD

• A

• B

• C

• D

Match the answers to the following problems.

• Problem 3

• Problem 1

• Problem 2

• Problem 4

Find the area of a sector with a radius of 10 units and a central angle of 90 degrees.

• arc length

• angular speed

• linear speed

• area of a circle sector

• arc length

• angular speed

• linear speed

• area of a circle sector

The distance along an arc in linear units.

• area of a sector

• arc length

• arc measure

• segment of a circle