Unit 5B Arc Length & Sector Area

Find the arc length.

• 5.50 cm
• 11.00 cm
• 0.39 cm
• 141.37 cm

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

In a​ circle, a 90° sector has area 64π in². What is the radius of the​ circle?

• 16 in

• 32 in

• 64 in

• 128 in

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 length of the bold arc.

• 61.3ft
• 20.4ft
• 7351.3ft
• 22,068ft

Calculate the length of the bold arc.

• 49.7 ft

• 15.8 ft

• 24.9 ft

• 3.14 ft

Calculate the area of the sector.

• 4248 m²

• 7.9 m²

• 2827.4 m²

• 11.8 m²

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

Find the circumference of circle C.

Stephanie was jogging around circular track. One part of the track was darker than the rest. She found the angle to be 270 degrees. She found the diameter was thirty feet. What is the arc length around the darker part of the track she jogged on? (rounded to the nearest whole number)

• 71 feet
• 141 feet
• 84 feet
• 63 feet