A circle is inscribed in a square. The area of the circle is 507 square inches. What is the length of each side of the square? Use 3 for pi.

26 inches

Step-by-step explanation:

We are given;

An inscribed circle whose area is 407 square inches In this case, we need to know that an inscribed in a square touches the four sides of the triangle. Therefore, the diameter of the circle is equivalent to the side of the square.

We are given the area as 507 square inches

But;

Area of the circle = pi * r²

Thus we can get the radius of the circle;

Thus;

507 in² = 3 * r²

r² = (507 : 3)

= 169

r = √169

= 13 inches

But, Diameter = 2 r

Thus; Diameter = 2 * 13

= 26 inches

But, in this case, diameter = side of the square

Therefore, the side of the square is 26 inches