Radians-arc length and sector area

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

Tags

CCSS.HSG.C.B.5

The length of an arc is 12 cm and the radius of the circle is 6 cm. What is the radian measure of the central angle?

• 2 radian

• 6 radian

• 4 radian

• 1 radian

Tags

CCSS.HSF.TF.A.1

Given that m∠AOB =  $\frac{13\pi}{18}$  radians and the radius is 8 cm, what is the length of arc AB?

•  $\frac{13\pi}{8}$   cm

•  $\frac{52\pi}{9}$  cm

•  $\frac{\pi}{9}$  cm

•  $\frac{9\pi}{52}$  cm

Tags

CCSS.HSG.C.B.5

Given that m∠AOB =  $\frac{13\pi}{18}$  radians and the radius is 8 cm, what is the sector area?

•   $\frac{208\pi}{9}$  cm^2

•  $\frac{416\pi}{9}$   cm^2

•  $\frac{52\pi}{9}$  cm^2

•  $\frac{26\pi}{9}$   cm2

Tags

CCSS.HSG.C.B.5

A sector of a circle has radius of 4.6 ft. The central angle is  $\frac{7\pi}{3}$  . What is the area of the sector?

• 8.81 sq ft

• 77.56 sqft

• 33.72 sq ft

• 155.11 sq ft

Tags

CCSS.HSG.C.B.5

The area of a sector is  $12\pi$  sq inches.  The radius of the sector is 6 inches.  What would be the measure of the central angle of the sector in RADIANS?

•  $\frac{12\pi}{5}$  radians

•  $\frac{5\pi}{6}$  radians

•  $\frac{3\pi}{2}$  radians

•  $\frac{2\pi}{3}$  radians

Tags

CCSS.HSG.C.B.5

The area of a sector is 15.6 square inches. The central angle of the sector is  $\frac{9\pi}{2}$  radians. What would be the length of the radius of the sector?

• 1.49 inches

• 2.98 inches

• 2.2 inches

• 15.6

Tags

CCSS.HSG.C.B.5

A slice of pie has a radius of 11 inches. The central angle of the slice is  $\frac{\pi}{4}$  radians.  What would be the length of the crust?

• 8.64 inches

• 4.32 inches

• 2.08 inches

• 69.11 inches

Tags

CCSS.HSG.C.B.5

A slice of pizza has a radius of 7 inches and a central angle of  $\frac{2\pi}{5}$  radians. What would be the area of the slice of pizza?

• 61.58 square inches

• 30.79 square inches

• 4.4 square inches

• 49 square inches

Tags

CCSS.HSG.C.B.5

Find the length of the dark arc.

• 15.32 inches

• 199.1 inches

• 398.2 inches

• 30.63 inches

Tags

CCSS.HSG.C.B.5