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Find the area of the circle whose circumference is 14.
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The circumference of the circle is given as 14.
Now the circumference of a circle is 2*pi*r.
2*pi*r = 14
=> r = 7/pi.
The area of a circle is pi*r^2
=> Area = pi*(7/pi)^2
=> Area = pi* 49/ pi^2
=> Area 49 / pi.
The required area of the circle is 49/ pi.
Posted by justaguide on December 4, 2010 at 1:23 PM (Answer #1)
High School Teacher
Given the circumference of a circle = 14.
We need to find the area of the circle.
We know that the formula for the area of a circle is given by:
A = r^2 * pi where r is the radius of the circle.
Then, we need to determine the radius.
But, w given the circumference = 14.
We know that the circumference of a circle is given by:
C = 2*r * pi
--> 2*r*pi = 14
==> r= 14/2pi = 7/pi.
Now we will substitute into A.
A = r^2 * pi
= (7/pi)^2 * pi = 49/pi^2 * pi = 49/pi.
Then, the area of the circle is A = 49/pi = 15.6 ( approx.)
Posted by hala718 on December 4, 2010 at 1:22 PM (Answer #2)
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