Arc Length and Area of Sectors

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 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.  Express answer to thenearest tenth of a square unit.

• 0.3 square units
• 15.7 square units
• 19.7 square units
• 50.3 square units

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.

Find the area of the shaded segment of circle O to the nearest tenth of a square unit.  The radius of the circle is 6 units.  The perpendicular from O to the chord joining point A to point B measures 4 units.

• 4.8 sq. units
• 30.3 sq. units
• 12.4 sq. units
• 48.2 sq. units

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.

• 5
• 9
• 8
• 6

You stop for lunch at a local pizza shop where each pizza is cut into 8 slices.  Would your hunger be better satisfied with one slice from a 16 inch pizza or two slices from a 12 inch pizza

• One Slice
• Two Slices

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

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet.  Find the measure of minor arc AB to the nearest degree.

• 90
• 60
• 55
• 113

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section?  Express answer to the nearest square foot.

• 1 sq. ft
• 13 sq. ft
• 3 sq. ft
• 26 sq. ft

Find the area of a segment of a circle if the central angle of the segment is 60° and the radius is 10.  Express answer to the nearest tenth of a square unit.

• 9.1 sq. units
• 27.2 sq. units
• 60 sq. units
• 54.4 sq. units