SOLUTION: I have a circular part within a rectangle. The rectangle measurements are 22cm by 15cm. I need to make the largest circle I can with that metal rectangle piece. I need to discov

Question 242605: I have a circular part within a rectangle. The rectangle measurements are 22cm by 15cm. I need to make the largest circle I can with that metal rectangle piece. I need to discover what size that circle will be as well as how much of the rectangle is remaining afterwards. I do need to have a formula to use later in doing the same thing.....
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Are you saying that a circle is contained within a rectangle that is 22 cm by 15cm? If so, then the largest circle that can be contained within the rectangle will have a diamster equal to the width of the rectangle. This means that the radius of the circle is HALF the diameter which is 15/2 cm or 7.5 cm.

The area of the circle is or

The area that is left in the rectangle after the circle is cut out will be the total area of the rectangle (L*W = 22*15) MINUS the area of the circle.

AREA OUTSIDE THE CIRCLE = sq cm. Do you have a calculator?? I don't have mine with me right now, so you'll have to do the calculation!!

The formula for this will be sq cm.

Dr. Robert J Rapalje, Retired
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