Area Sector and Arc Length

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

Tags

CCSS.HSG.C.B.5

Find the arc length of arc AB.

• 12.57 units

• 75.40 units

• 24 units

• 125.66 units

Tags

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.

• 25.2 in²

• 28.5 in²

• 31.4 in²

• 38.2 in²

Tags

CCSS.HSG.C.B.5

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 the YELLOW SECTOR?

• 3.3 ft²

• 4.5 ft²

• 6.3 ft²

• 7.1 ft²

Tags

CCSS.HSG.C.B.5

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.

• 60

• 45

• 63

• 81

Tags

CCSS.HSG.C.B.5

Tags

CCSS.HSG.C.B.5

Find the area of each sector.

• 4248 m²

• 7.9 m²

• 2827.4 m²

• 11.8 m²

Tags

CCSS.HSG.C.B.5

What is the area of the shaded sector?

• 339.12 in²

• 113.04 in²

• 339.29 in²

• None of the above

Tags

CCSS.HSG.C.B.5

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

• 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