3. the side of a square is 20 cm long. what is the circumference of the circle when …
a. the circle is inscribed within the square?
b. the square is inscribed within the circle?

a. 20π cm.

b. 20(√2)π cm,

Step-by-step explanation:

a. The diameter (d) of the circle = side of the square = 20 cm.

So the circumference =  π d = 20π cm.

b. In this case the diameter = the length of the diagonal of the square.

The diagonal = diameter of the circle =sqrt ( 20^2 + 20^2) = √800 = 20√2.

So the circumference = πd = 20(√2)π.

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