A circle passes through the vertices of

a square of side 20cm.

Find the radius of the circle.

A) 14.1cm

B) 15.6cm

C) 28.3cm

D) 14.9cm

a) 14,1 cm

Step-by-step explanation:

If a circle passes through the vertices of a square then the diagonal of a square is a circle diameter.

We use Pytagoras Theorem to find out the length (L) of the diagonal given that:

L² = (20) ² + (20) ²

L² = 2 * (20) ²

L = √2 * 20

L = 1,4142 * 20

L = 28,28 cm

L diagonal in the square is a diameter of the circle then radius of a circle is:

r = L/2 ⇒ r = 28,28 / 2 ⇒ r = 14,14 cm