Arc Length and Sector Area

Find the area of a sector with an arc length of 30 cm and a radius of 8 cm.

• 240 cm²

• 80 cm²

• 120 cm²

• 180 cm²

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

The distance along an arc measured in linear units.

• area of a sector

• arc length

• arc of a circle

• arc measure

Calculate the LENGTH of arc ADC.

• 5040 cm

• 43 cm

• 44 cm

• 14 cm

Calculate the AREA of the red sector.

• 176.625 miles²

• 706.858 miles²

• 188.496 miles²

• 11.781 miles²

Suppose an arc has a length of 100 miles and an arc measure of 240°. What would be the radius of the circle?

• 47.746 miles

• 150 miles

• 23.873 miles

• 10 miles

Find the arc length of the bolded arc. Give your answer in terms of π.

• (65/12)π cm

• 17.02 cm

• (845/24)π cm

• 26π cm

FIND THE ARC LENGTH OF THE BOLDED ARC

• A

• B

• C

• D

FIND THE ARC LENGTH OF THE BOLDED ARC

• A

• B

• C

• D

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