Precalc - Arc Length + Area of Sector

What formula is this?

• Arc length when θ is in radians

• Arc length when θ is in degrees

• Sector Area when θ is in radians

• Sector Area when θ is in degrees

What formula is this?

• Arc length when θ is in radians

• Arc length when θ is in degrees

• Sector Area when θ is in radians

• Sector Area when θ is in degrees

A region bounded by two radii of the circle and their intercepted arc is a ....

• arc of a circle
• arc length of a circle
• sector of a circle
• segment of a circle

Tags

CCSS.HSG.C.B.5

The distance along an arc measured in linear units.

• area of a sector
• arc length
• arc of a circle
• sector of a circle

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

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.

Tags

CCSS.HSG.C.B.5

CCSS.HSG.GMD.A.1

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 ft

• 35 ft

• 55 ft

• 69 ft

Find the area of the shaded sector of the circle.

• 
• 
• 
• 

Tags

CCSS.HSG.C.B.5

Stephanie is cutting a pie. Stephanie's mother wants one fourth of the pie. The diameter is 20 cm. What is the sector area of the pie her mother does not want?

• 235.62 cm squared

• three fourths of the pie

• 78.54 cm squared

• 83.99 cm squared

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

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