Name: _______________________
Circles – Given Circumference or Area
Date: _______
Class: Pre-Algebra
Sheet # 08-04
The area of a circle is 25  .
What is the radius of the circle?
1
The circumference of a circle is
10  . What is the diameter of
the circle?
4
The circumference of a circle is
25  . What is the diameter of
the circle?
7
2
The circumference of a circle is
50  . What is the radius of the
circle?
5
The circumference of a circle is
15  . What is the radius of the
circle?
8
The area of a circle is 16  .
What is the diameter of the
circle?
3
The circumference of a circle is
24  . What is the area of the
circle, in terms of  ?
6
The circumference of a circle is
16  . What is the area of the
circle, in terms of  ?
9
The area of a circle is 49  .
What is the circumference of the
circle, in terms of  ?
A brick border around a pool is 50  yards. Find
10 the area of the pool in terms of .

A mirror has a circumference of 74.36 inches.
11 Will it fit in a space that is 24 inches wide?
Justify your response.
Area ___________ square yards
Kimberly designs a sprinkler system for her
12 yard. One rotation of the sprinkler waters a
circle with an area of 225  square feet. What
is the radius, r, of the circle the rotating
sprinkler waters?
A dog is tied with a rope to a stake in the
15 ground. The area in which the dog can roam is
A
B
C
D
100 square feet. What is the length of the rope
to the nearest foot?
NOTE: Why is this a different problem from
number 14?
Show your work.
15 feet
30 feet
25 feet
47 feet
A tether ball pole is being installed on the
13 school playground. The principal wants the
ball only to circle an area of 121  square
meters. Find the length of the rope the ball
will be attached to, rounded to the nearest
foot.
Show your work.
Answer _________ feet
The area of this circle is
16 approximately 200.96 square
centimeters. What is the length
of its diameter?
A
B
C
D
Answer _________ feet
Alex put his dog on a rope and attached the
14 rope to a stake in the ground. The area that the
dog can roam is 100  square feet. Find the
length of the rope to the nearest foot.
Show your work.
Answer _________ feet
8 cm
16 cm
36 cm
48 cm
You measure around the circular window in
17 your room of a cruise ship to be 43.96 inches.
What is the approximate area of the window,
in terms of  ?
Show your work.
Answer ________ square inches