Free Printable Radian review

1.

Find the area of a sector with a radius of 9ft and an angle measure of $132\degree$

a)

$10.27ft^2$

b)

$93.31ft^2$

c)

$29.7ft^2$

d)

$85ft^2$

2.

What is the area of the shaded sector?

a)

$6.56yd^2$

b)

$7.49yd^2$

c)

$8.72yd^2$

3.

What is the formula for finding the area of a sector.

a)

$\left(\frac{n}{360}\right)\pi r^2$

b)

$2\pi r$

c)

$\pi r^2$

4.

Is the shaded region a major or minor sector?

a)

major sector

b)

minor sector

5.

Is the shaded region a major or minor sector?

a)

major sector

b)

minor sector

6.

Find the area of each sector.

a)

52.4 in²

b)

18,864 in²

c)

60 in2

d)

10.47 in

7.

What is the area of the shaded region? Leave your answer as an exact value.

a)

25π - 50

b)

25π - 100

c)

5π - 50

d)

5π - 100

8.

What is the area of the shaded segment?

a)

185.0619

b)

88.9359

c)

39.3078

d)

5.7975

9.

What is the area of the green shaded segment?

a)

4.2 cm²

b)

0.2 cm²

c)

4.0 cm²

d)

2.4 cm

10.

Which segment is the diameter?

a)

AC

b)

BD

c)

LM

d)

CE

11.

Which segment is a radius?

a)

LM

b)

DC

c)

BD

d)

ML

12.

What is the part of the circle highlighted in red called?

a)

semi-circle arc

b)

major arc

c)

minor arc

d)

sector

13.

What is the part of the circle highlighted in red called?

a)

semi-circle arc

b)

major arc

c)

minor arc

d)

sector

14.

A chord is a segment that connects ___________

a)

the center to the endpoint

b)

to one point outside the circle

c)

a central angle

d)

2 endpoints of a circle

15.

A line that intersects a circle at exactly one point

a)

secant

b)

circle

c)

chord

d)

tangent

16.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Chord

e)

Arc

17.

A secant:

a)

goes through the circle and intersects 2 times with the circle

b)

connects 1 time with the circle

c)

is only inside the circle

d)

always goes through the center of the circle

18.

________ is tangent to the circle.

a)

$\overline{XP}$

b)

$\overline{MP}$

c)

$\overline{DC}$

d)

$\overline{NA}$

19.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

20.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

21.

Convert π/3 radians to degrees

a)

60⁰

b)

30⁰

c)

90⁰

d)

45⁰

22.

Convert 100⁰ to radians

a)

5π/9

b)

π/2

c)

5π/8

d)

5π/6

23.

What is the correct conversion factor to use when converting from radians to degrees?

a)

$\frac{\pi}{180}$

b)

$\frac{180}{\pi}$

24.

Convert $-30\degree$ into radians

a)

$-\frac{\pi}{6}$

b)

$-\frac{5\pi}{36}$

c)

$-\frac{7\pi}{18}$

d)

$-\frac{\pi}{9}$

25.

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.

a)

5

b)

9

c)

8

d)

6

26.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

27.

Find the length of the arc to 2dp

a)

246.09cm

b)

24.61cm

c)

123.05cm

d)

240.86cm

Radian review

Total questions: 27

Worksheet time: 2hrs 42mins

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