What is the circumference of the circle whose area is 24 cm^2.
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calendarEducator since 2010
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The area of a circle with radius r is given by pi*r^2. The circumference is given by 2*pi*r.
We have the area of the circle given as 24 cm^2.
The radius is sqrt [24 / pi]
The circumference is 2*pi*sqrt [24 / pi]
=> 4* sqrt 6 * sqrt pi
The required result is 4*sqrt 6 * sqrt pi
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calendarEducator since 2008
write3,662 answers
starTop subjects are Math, Science, and Social Sciences
Given the area of the circle is 24 cm^2
Then, we will use the area of the circle formula to find the radius.
We know that:
A = r^2 * pi where r is the radius.
==> 24 = r^2 * pi
==> r^2 = 24/pi = 7.64
==> r= 2.76 cm ( approx.)
Now we will calculate the circumference.
We know that:
C = 2*r * pi = 2* 2.76 * pi = 17.37
Then the circumference of the circle is C = 17.37 cm.
Area of the circle is 24 cm^2.
We have to find the circumference of the circle.
We use the formula for area A and circumference C:
A = pi*r^2 and
C = 2pi*r, where r is the radius of the circle.
So pir^2 = 24 cm^2 given.
r^2 = (24/pi). So r = (24/p)^(1/2).
We put r = (24/pi)^(1/2) in C = 2pi*r and get:
So C = 2pi*r. So C = 2pi* (24/pi)^(1/2) =17.3664 cm nearly.
Therefore the circumference = 17. 3664 cm.
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