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July 4, 2015

Homework Help: Circumference and Area of Circles

Posted by mike on Tuesday, May 8, 2007 at 10:38pm.

can someone help me with these:Find the radius, diameter and circumference of a circle with an area of 64 cm2. Write your answers as decimals rounded to the nearest hundredth.

Find the circumference and area of a circle that has a rectangle inscribed inside it with sides that are 9 by 12 centimeters. Write your answer as decimals rounded to the nearest hundredth. (hint: Draw this circle on your paper and find the length of the diagonal of the rectangle.)

you should know that Area = πr^2
and circumference is 2πr
and clearly the diameter is 2r

ao πr2=64
r = 8/√π

evaluate using your calculator and substitute in the above expressions.
Round off AFTER you have substituted,not before.

For your second question they have given you an excellent hint.
I will give you one more...
the radius of the circle is half the length of the diagonal of the rectangle.

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