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Practice with Circle Area/Circumference
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Practice Page
Directions: Grab a paper and pencil to make your computations.

1.
The circumference of a circle is 24π. Find the area of this circle.
Choose:
576π
144π
36π
12π

 

 

2.
If the circumference and area of a circle are the same number, what is the diameter of the circle?

Choose:
1
2
4
8

 

 

3.
An advertising sign has dimensions as shown at the right. Consider the top of the sign to be a semicircle.
a) A neon strip of lighting is to be placed around the outer edge of the sign. How long a strip of neon will be needed?
(to nearest tenth of foot)
Choose:
15.2'
19.7'
24.4'
36.4'
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b) If the entire surface of the sign is to be covered in a plastic protective coating, how many square feet of the plastic will be needed? (to nearest tenth of a square foot.)
Choose:
15.2 sq. ft.
18.0 sq. ft.
21.5 sq. ft.
25.0 sq. ft.

 

 

4.
Two concentric circles are shown at the right. Using the information given, find the area of the shaded (colored) portion of the larger circle.

Choose:
78π
80π
92π
108π

 

 

5.
The shape shown at the right is an isosceles triangle with a semicircle at its base.
Round answers to 3 decimal places.
(Hint: Trigonometry will be needed.)
a) Find the number of square centimeters in the isosceles triangle.
Choose:
67.826
33.913
30.549
15.380


b) Find the total number of square centimeters in the entire shape.
Choose:
30.549
33.913
67.826 98.375

 

 

6.
The diagram at the right is one full circle and two semicircles. The black dots indicate the centers, A, O, and B. Using the given information, determine the area of the shaded (colored) section. Express answer in terms of π.

Choose:
68π
48π
18π
16π

 

 

7.
How far does a wheel with a radius of 15 inches travel in 20 revolutions? Express answer to the nearest foot.

Choose:
79'
124'
157'
1885'

 

 

8.
Given circle O with AC = 12 and CB = 5. Find the area of the shaded (colored) region. Express answer in terms of π.

Choose:
21.125π - 30
21.125π - 60
48.25π - 30 48.25π - 60

 

 

9.
Given the equation of a circle to be
     x2 + y2 -10x +14y + 10 = 0,
a) find the center and radius of the circle.
Choose:
center (5,-7), radius 12
center (-5,7), radius 8
center (5,-7), radius 8
center (-5,7), radius 12

b) find the area of the circle expressed in terms of pi.
 Choose:
144π
64π
 49π 25π

 

 

10.
In the circle shown at the right, ΔABC is an equilateral triangle. Find the area of the shaded (colored) region using the information given.
Choose:
 

 


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