Quiz about Arc Length and Sector Area

Question 1

Find the arc length of the circle. (Leave answers in terms of . Do not round your answer.)

Accepted Answer

$$15\pi$$ km

Answer

$$27\pi$$ km

Answer

$$\frac{\pi}{18}$$ km

Answer

$$\frac{15\pi}{2}$$

Question 2

Find the arc length of the circle. (Leave answers in terms of . Do not round your answer.)

Accepted Answer

$$\frac{45\pi}{2}$$ km

Answer

$$27\pi$$ km

Answer

$$\frac{\pi}{18}$$ km

Answer

$$15\pi$$ km

Question 3

Find the arc length of the circle. (Round your answer to the nearest tenth.)

Accepted Answer

42.4 m

Answer

21.2 m

Answer

84.8 m

Answer

6.7 m

Question 4

Which of the following formulas calculates the arc length of a circle? (Select ALL that apply.)

Accepted Answer

$$\frac{ heta}{360} imes2\pi r$$

Accepted Answer

$$\frac{ heta}{360} imes\pi d$$

Answer

$$\frac{ heta}{180} imes2\pi r$$

Answer

$$\frac{ heta}{360} imes\pi r^2$$

Question 5

What is the green area called?

Accepted Answer

Sector

Answer

Circumference

Answer

Arc Length

Answer

Area

Question 6

Find exact length of the un-shaded part of the circle.

Accepted Answer

$$4\pi\ cm$$

Answer

$$6\pi\ cm$$

Answer

$$8\pi\ cm$$

Answer

$$2\pi\ cm$$

Question 7

Find the area of the dark blue sector shown at the left. The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units. Express answer to thenearest tenth of a square unit.

Accepted Answer

15.7 square units

Answer

0.3 square units

Answer

19.7 square units

Answer

50.3 square units

Question 8

The distance along an arc measured in linear units.

Accepted Answer

arc length

Answer

area of a sector

Answer

arc of a circle

Answer

sector of a circle

Question 9

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

Accepted Answer

sector of a circle

Answer

arc of a circle

Answer

arc length of a circle

Answer

segment of a circle

Question 10

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.

Accepted Answer

94

Answer

47

Answer

74

Answer

123

Question 11

The distance along an arc in linear units.

Accepted Answer

arc length

Answer

area of a sector

Answer

arc measure

Answer

segment of a circle

Question 12

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.

Accepted Answer

8.4 units

Answer

9.2 units

Answer

8.8 units

Answer

8.1 units

Arc Length and Sector Area

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