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41 votes
41 votes
Challenge The figure shows a circle inscribed in a square. The perimeter of the square is

66.8 cm. What is the length of the radius?
r=?

User Clever Neologism
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1 Answer

16 votes
16 votes
Answer is 8.35 cm radius.

Step by step. The circle is inscribed in a square with a perimeter of 66.8 cm.

First find the length of one side of the square. All four sides will be the same, so divide 66.8 by 4 = 16.7 cm.

Now, we know the diameter of the circle is the same as the length of the square, 16.7 cm. We also know the radius is 1/2 diameter, so 16.7 divided by 2 = 8.35 cm radius.

Problem solved.
User Benk
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2.6k points