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Example Questions
Example Question #106 : How To Find Circumference
Find the circumference of a circle whose diameter, , is 10.
Note:
The formula for circumference is
.
We were initially given diameter, so to get the radius we divide d by 2.
.
We then solve by saying
Example Question #302 : Circles
The area of a circle is . What is the circumference?
The area of a circle is , so in this case the radius squared is 4. Since the square root of 4 is 2, the radius has length 2. To find the circumference, use the formula . In this case,
Example Question #301 : Circles
The radius of the circle shown here is units long. What is its circumference?
The formula for the circumference of a circle given its radius is . For the circle given in the problem, units, and so
.
Hence, the circumference of this circle is units.
Example Question #301 : Radius
A circle has diameter 20.
True or false: The circumference is greater than 60.
False
True
True
The circumference of a circle is its diameter multiplied by , so, since the diameter is 20, the circumference is . Also,
,
so, multiplying both sides by 20 by the Multiplication Property of Inequality,
and
.
The circumference is indeed greater than 60.
Example Question #302 : Radius
Ashley has a square room in her apartment that measures 81 square feet. What is the circumference of the largest circular area rug that she can fit in the space?
In order to solve this question, first calculate the length of each side of the room.
The length of each side of the room is also equal to the length of the diameter of the largest circular rug that can fit in the room. Since , the circumference is simply
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