Quiz about Area of a Sector to Arc Length

Question 1

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 2

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 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

Find the length of arc YZ. Leave your answer in terms of $$\pi$$ .

Accepted Answer

$$\frac{59}{30}\pi$$

Answer

$$\frac{59}{90}\pi$$

Answer

$$\frac{38}{45}\pi$$

Answer

$$\frac{121}{30}\pi$$

Question 5

Find the length of arc NLJ.

round your answer to the nearest tenth

Accepted Answer

28.3

Answer

27.2

Answer

9.4

Answer

18.8

Question 6

What is the area of the shaded sector? Round your answer to the nearest hundredth.

Accepted Answer

163.85

Answer

19.28

Answer

655.39

Answer

None of these

Question 7

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 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

Area of a Sector to Arc Length

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