Quiz about Arc Length Radian and Sector Area

Question 1

A central angle measure 4.5 radians and has an arc of 35 inches. What is the radius of the circle?

Accepted Answer

7.78 inches

Answer

8.21 inches

Answer

157.5 inches

Answer

7 inches

Question 2

In the diagram below, the circle shown has radius 10. Angle B intercepts an arc with a length of $$2\pi$$ . What is the measure of angle B, in radians?

Accepted Answer

$$\frac{\pi}{5}$$

Answer

$$10+2\pi$$

Answer

$$20\pi$$

Answer

$$\frac{5}{\pi}$$

Question 3

What is the green area called?

Accepted Answer

sector

Answer

segment

Answer

arc

Answer

section

Question 4

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 5

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

Accepted Answer

$$\frac{39\pi}{4}\ ft$$

Answer

$$\frac{3\pi}{4}\ ft$$

Answer

$$\frac{13\pi}{4}\ ft$$

Answer

$$\frac{4\pi}{13}\ ft$$

Question 6

Find the AREA of the sector. Round your answer to the nearest tenth.

Accepted Answer

$$199.1\ ft^2$$

Answer

$$63.4\ ft^2$$

Answer

$$15.3\ ft^2$$

Answer

$$187.9\ ft^2$$

Question 7

Find the area of the sector. Round your answer to the nearest tenth.

Accepted Answer

$$175.9\ cm^2$$

Answer

$$184.2\ cm^2$$

Answer

$$351.9\ cm^2$$

Answer

$$56\ cm^2$$

Question 8

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

Accepted Answer

44.0 cm

Answer

88.0 cm

Answer

14 cm

Answer

39.4 cm

Question 9

Name the pictured part of the circle.

Accepted Answer

Arc

Answer

Radius

Answer

Central Angle

Answer

Sector

Answer

Center

Question 10

Name the pictured part of the circle.

Accepted Answer

Sector

Answer

Radius

Answer

Central Angle

Answer

Center

Answer

Arc

Arc Length Radian and Sector Area

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