Arc Length and Sector Area

An apple pie is cut into six equal slices as shown below. If the radius of the pie is five inches, what is the approximate arc length of one slice of pie? (Use S=rθ)

• 600

• 500

• 400

• 300

Tags

CCSS.HSG.C.B.5

Find the length of arc AB. Round to the nearest tenth. Enter only a number in the blank.*we have not learned radian measurements yet, so you should assume that 3pi/4 is equal to 135 degrees.

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.B.5

Find the arc length.  Leave your answer in terms of π.

• 7/4π

• 7/2π

• 1/8π

• 45π

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

Find the arc length.  Leave your answer in terms of π.

• 7/4π

• 7/2π

• 1/8π

• 45π

Tags

CCSS.HSG.C.B.5

Find the area of the bolded sector.

• 4248 m²

• 7.9 m²

• 2827.4 m²

• 11.8 m²

Tags

CCSS.HSG.C.B.5

If the arc length of the 45° region of this circle is 10 inches, what is the radius of the circle?

• 1.6in

• 3in

• 6.8in

• 2.5in

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSG.C.B.5

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

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

Tags

CCSS.HSG.C.B.5