Arc Length and Area of Sectors

What is the circumference of this circle with a diameter of 12cm?

• 3.14 cm

• 37.7 cm

• 24 cm

• 68.4 cm

Tags

CCSS.HSG.GMD.A.1

Find the arc length of the sector. Round your answer to the nearest tenth.

• 4.8 units

• 2.6 units

• 7.9 units

• 5.2 units

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

Find the length of the arc.

• 31.42cm

• 15.71cm

• 282.74cm

• 23.56cm

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

Find the arc length of the sector. Round your answer to the nearest tenth.

• 8.7 m

• 7.9 m

• 3.9 m

• 11.8 m

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

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

Tags

CCSS.HSF.TF.A.1

CCSS.HSG.C.B.5

Which angles are congruent?

• <ACB = <ADB
• <ADB=<AEB
• <AEB=<ACB
• <ACB = <ADB = <AEB

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.A.3

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

The radius of a circle is 7 feet. What is the length of a 180° arc?

•  $14\pi$   feet

• 7 feet

•  $7\pi$   feet

• 180 feet

The radius of a circle is 10 feet. What is the area of a sector bounded by a 135° arc?

•  $\frac{75}{2}\pi$  square feet

•  $75\pi$  square feet

• 135 Square feet

• 10 square feet

Raphael gives you slice of his 10 in (diameter) pizza! 
What's the area of that slice?  (Assume the slice is $\frac{1}{8}th$  of the entire pie.)

•  $\frac{1}{8}\pi$   square inches

•  $\frac{25\pi}{8}$  square inches

•  $10\pi$   square inches

•  $5\pi$  square inches