Question

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?

Answer 1

what they said above..

Answer 2

a. 20π cm.

b. 20(√2)π cm,

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.