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Hi, there--
The Problem:
The Circumference of a circle is 24pi feet. Find both the area and the diameter of the circle?
Solution:
The formula for the circumference of a circle is
C = 2*pi*r
Since the circumference of the circle is 24pi feet, we have
24*pi = 2*pi*r
Simplify and solve for r
2r = 24
r = 12
The radius of the circle is 12 feet.
The formula for the Area of a circle is pi*r^2. Since the radius is 12, we have
A = pi*(12)^2
Simplify.
A = pi*144
A=144pi
The area of the circle is 144pi square feet.
The diameter is twice the radius, so the diameter is 12*2=24 feet.
That's it. Please email me if you have questions or comments about the solution.
I appreciate your feedback.
Ms.Figgy
math.in.the.vortex@gmail.com
