Arc Measure and Area of a Sector

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

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

Find the arc length.

• 37.70 cm

• 6.28 cm

• 28.27 cm

• 9.42 cm

Find the area of the shaded sector.

• 37.70 cm²

• 6.28 cm²

• 28.27 cm²

• 9.42 cm²

Find the area of the dark blue sector shown at the left. The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units.

• 0.3 square units

• 15.7 square units

• 19.7 square units

• 50.3 square units

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

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

• 47

• 74

• 94

• 123

Find the area of the sector.

• A

• B

• C

• D

Find the area of the shaded sector

• 173.42 cm²

• 212.06 cm²

• 237.50 cm²

• not enough information