Arc Length and Sector Area Radians

Given that m∠AOB = 13π/18 and the radius is 8 cm, what is the length of arc AB?

• 13π/8 cm

• 52π/9 cm

• π/9 cm

• 9π/52

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 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

Find the length of the arc shown in red.

• 8π ft

• 4π ft

• 2π ft

• 16π ft

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

• 40

• 35

• 55

• 69

Match the answers to the following problems.

• Problem 2

• Problem 4

• Problem 3

• Problem 1

The diagram shows a sector of a circle of radius 4 units, formed from an angle of size 135°.

Find the length of the arc rounded to two decimal places.

Mathematical Equivalence

ON

Match the following

• Radian

• 
• A "pie-slice" part of a circle

• Arc Length

• Degrees

• Area of Sector

• The distance along the arc

• 
• Theta

• 

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