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Quiz 2: Area and length of Circle and Solving Right Triangle

Total questions: 10

Worksheet time: 42mins

Name
Class
Date
1.

What is the distance called for Arc AB in the picture?

a)

area of a sector

b)

arc length

c)

arc of a circle

d)

sector of a circle

2.

In circle O, the radius is 4, and the measure of minor arc AB for theta is 120 degrees. Find the length of minor arc AB to the nearest integer/whole number.

Show your work!!

a)

480

b)

9

c)

8

d)

6

3.

Find the length of the  circle O if the

\theta=\fr r = 6cm θ=2π5r\ =\ 6cm\ \theta=\frac{2\pi}{5}  
Show your work!!  Round to the nearest tenth. 
only type the number, no spaces.



(a)  

4.

A record has

What is the area of the record(circle)?

 r=15m  and θ=300r=15m\ \ and\ \theta=30^0  
Show your work! The select the correct answer. Round to the nearest whole number!

a)

 59m259m^2  

b)

 7m27m^2  

c)

 3375m23375m^2  

d)

 8m28m^2  

5.

What is the area of a circle with

 r=120ft.  and θ=4π3r=120ft.\ \ and\ \theta=\frac{4\pi}{3}  ?
Show your work!! Round to the nearest tenth.

a)

 502.3ft2502.3ft^2  

b)

 30,159.3ft230,159.3ft^2  

c)

 30,159.2ft230,159.2ft^2  

d)

 502.5ft2502.5ft^2  

6.
A triangle's angles add up to...
a)
90 Degrees
b)
180 Degrees
c)
360 Degrees
d)
OVER 9000 Degrees
7.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
8.

Solve the right triangle.

Show your work, then pick the best answer.

a)

<B = 39o, c = 11.58, b = 7.29

b)

<B = 39o, c = 7.29, b = 11.58

c)

<B = 129o, c = 11.58, b = 7.29

d)

<B = 129o, c = 7.29, b = 11.58

9.

Solve the right triangle.

show your work. Round everything to the nearest whole number.

a)

<A = 45o, <B = 56o, c = 8in

b)

<A = 61o, <B = 29o, c = 6in

c)

<A = 61o, <B = 29o, c = 8in

d)

<A = 45o, <B = 34o, c = 6in

10.

Find the measure of the missing angle.

Show your work, round to the nearest whole number!!

only type the number, no spaces.

(a)