SOLUTION: A piece of wire 30 cm long is cut into two pieces. One of these is bend into a circle, and the other is bent into a square enclosing the circle. What is the diameter of the circle?

Question 766778: A piece of wire 30 cm long is cut into two pieces. One of these is bend into a circle, and the other is bent into a square enclosing the circle. What is the diameter of the circle?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
First focus on either the radius of the circle or the side length of the square. I will choose the circle's radius. You know that later, you must deal with the sum of their perimeters.

Let r=radius of circle. The square that perfectly is circumscribed around it has side 2r. Draw this situation so you can visualize well.

"perimeter" or circumference of the circle is .
Perimeter of the square is .

The original wire length is 30 cm. The total length of wire forming this circle and square must be the sum of their perimeters.

, find r. THEN find which is the diameter.

STEPS FROM THAT...

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