Arc Length and Sector Area Word Problems

Given that m∠AOB = 13π/18 and the radius is 8 cm, what is the sector area?

• 208π/9 cm²

• 416π/9 cm²

• 52π/9 cm²

• 26π/9 cm²

What is the length of the arc shown in​ red?

• 18π cm

• 2π cm

• 4π cm

• 3π cm

Find the length of the arc shown in red.

• 8π ft

• 4π ft

• 2π ft

• 16π ft

A central angle measures 4 radians and has an arc length of 28 inches. What is the diameter of the circle?

• 14 inches

• 7 inches

• 49 inches

• 6 inches

The length of an arc is 12 cm and the radius of the circle is 6 cm. What is the radian measure of the central angle?

• 2 radian

• 6 radian

• 4 radian

• 1 radian

What is the approximate length of the arc subtended by an angle of 5π/6 radians on a circle with radius of 5.00 meters?

• 50.27 meters

• 13.09 meters

• 15.71 meters

• 12.52 meters

The diameter of a circle is 10 centimeters. A central angle of the circle intercepts an arc of 20 centimeters. What is the radian measure of the angle?

• 2

• 4

• 1

• 5

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

• 9.2 units

• 8.8 units

• 8.4 units

• 8.1 units

The distance along an arc in linear units.

• area of a sector

• arc length

• arc measure

• segment of a circle

Find the area of each sector.

• 6.4 m²

• 7.9 m²

• 9.8 m²

• 11.8 m²