Free Printable Radian Measure

1.

What is 36° in radians?

a)

1/5

b)

π/5

c)

1/3

d)

π/3

2.

What is 11π/12 in degrees?

a)

164

b)

165

c)

162

d)

163

3.

What is the radian measure of the shaded angle?

a)

$\frac{\pi}{4}$

b)

$\frac{\pi}{2}$

c)

$\pi$

d)

$2\pi$

4.

What is the radian measure of the shaded angle?

a)

$\frac{\pi}{3}$

b)

$\frac{2\pi}{3}$

c)

$\frac{3\pi}{2}$

d)

$\pi$

5.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

6.

The length of an arc is 18cm and the radius of the circle is 6cm. What is the radian measure of the central angle?

a)

3 radian

b)

2 radian

c)

4 radian

d)

2π radian

7.

Find the area of a sector with an arc length of 30 cm and a radius of 8 cm.

a)

240 cm²

b)

80 cm²

c)

120 cm²

d)

180 cm²

8.

What formula is this?

a)

Arc length when θ is in radians

b)

Arc length when θ is in degrees

c)

Sector Area when θ is in radians

d)

Sector Area when θ is in degrees

9.

What is the area of sector GPH?

a)

9π yd²

b)

32π yd²

c)

18π yd²

d)

6π yd²

10.

What is a radian?

a)

a central angle created when the radius is wrapped around a circle.

b)

a central angle created when the radius is twice as big as the arc length

c)

a central angle created when the radius is half as big as the arc length

d)

a misspelling of radius

11.

Let's Recap!

Radian is a different unit to measure angle.

a)

TRUE

b)

FALSE

12.

The correct method to convert $56^{\degree}$ to radian is.........

a)

$56+\frac{180}{\pi}$

b)

$56\times\frac{180}{\pi}$

c)

$56\times\frac{\pi}{180}$

d)

$56+\frac{\pi}{180}$

13.

The correct way to conver 5.6 rad to degree is......

a)

$5.6\times\frac{180}{\pi}$

b)

$5.6\times\frac{\pi}{180}$

c)

$5.6\div\frac{180}{\pi}$

d)

$5.6\div\frac{\pi}{180}$

14.

A rope is being wound around a drum with a radius of 0.8725 ft. How much rope will be wound around the drum if the drum is rotated through an angle of 39.72°?

a)

0.6049 ft

b)

1.210 ft

c)

17.33 ft

d)

34.66 ft

15.

What formula is this?

a)

Arc length when θ is in radians

b)

Arc length when θ is in degrees

c)

Sector Area when θ is in radians

d)

Sector Area when θ is in degrees

Radian Measure

Total questions: 15

Worksheet time: 4hrs 45mins

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