Question

HELLLLLLP WILLGIVE 50 POINTS!A square is inscribed in a circle. If the area of the square is 9 in^2, what is the ratio of the circumference of the circle to the are of the circle?

Answer 1

• 2√2/3

Explanation:

Area of the square is 9 in², so side of the square is:

• a = √9 = 3 in

The diagonal of the square is the diameter of the circle.

• d = 3√2

Circumference of circle:

• C = πd = 3√2π

Area of circle:

• A = πd²/4 = 18π/4 = 9/2π

Ratio of circumference to area:

• C/A = 3√2π / (9/2π) = 2√2/3