Free Printable Review Quiz for Unit Circle Topic

1.

Any angle drawn on the Cartesian plane with its vertex at the origin and its initial side is at the positive x-axis

a)

Unit circle

b)

Positive angle

c)

Standard position

d)

Negative angle

2.

A positive angle moves in what direction?

a)

clockwise

b)

counter clockwise

3.

What is 1 radian in degrees?

a)

53.7

b)

35.7

c)

57.3

d)

73.5

4.

What is a unit circle?

a)

A circle drawn on a Cartesian plane with a point on the origin.

b)

A circle drawn with radius equal to 1.

c)

A circle drawn on the origin with radius equal to zero.

d)

A circle with center at the origin and its radius is equal to 1.

5.

Using the figure, what is the terminal side of a standard position angle with measure of -135?

a)

OB

b)

OC

c)

OD

d)

OE

6.

What is $\frac{7\pi}{6}$ in degrees?

a)

$210\degree$

b)

$209\degree$

c)

$220\degree$

d)

$219\degree$

7.

What is $135\degree$ in radians?

a)

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

b)

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

c)

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

d)

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

8.

What is the difference between two co-terminal angles?

a)

$180\degree k$

b)

$360\degree k$

c)

$270\degree k$

d)

$-360\degree$

9.

What is the length of an arc of a circle with radius equal to 10 cm and subtends an angle of $45\degree$ ?

a)

7.85 m

b)

8.75 cm

c)

7.85 m

d)

7.58 cm

10.

Find the length of an arc of a circle with diameter of 10 cm and subtends an angle of $270\degree$ ?

a)

41.7 cm

b)

14.7 cm

c)

17.4 cm

d)

47.1 cm

11.

Find the area of a sector with central angle of $60\degree$ if the radius is 3m.

a)

$1.74m^2$

b)

$4.71m^2$

c)

$7.41m^2$

d)

$4.17m^2$

12.

What is tan Ꝋ in terms of x and y of the unit circle?

a)

$\frac{y}{x},\ wherein\ x\ne0$

b)

$\frac{x}{y},\ wherein\ y\ne0$

c)

$\frac{1}{y},\ wherein\ y\ne0$

d)

$\frac{1}{x},\ wherein\ x\ne0$

13.

What is $\cos\theta$ if $\tan\theta=\frac{3}{4}$ ?

a)

$\frac{3}{5}$

b)

$4$

c)

$3$

d)

$\frac{4}{5}$

14.

If $\cos\theta<0$ and $\cot\theta=\frac{-2}{3}$ , what is $\sin\theta$ ?

a)

$\frac{3\sqrt{13}}{13}$

b)

$-\frac{3\sqrt{13}}{13}$

c)

$\frac{2\sqrt{13}}{13}$

d)

$-\frac{2\sqrt{13}}{13}$

15.

Will you make an effort to review your notes?

a)

Yes

b)

No

c)

Maybe

d)

Review Quiz for Unit Circle Topic

Total questions: 15

Worksheet time: 8mins

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