Question

A circle is inscribed inside a square as shown. If graphed on the coordinate plane, the coordinates of the center of the circle would be (2, 5) and the coordinates of one other point on the circle would be (-2, 2). Find the area of the square.

A) 20
B) 25
C) 40
D) 100

Answer 1

Length of side of the square = 2r
where r=radius of inscribed circle

Given an inscribed circle
Centre of circle , O(2,5)
Point on circle, P(-2,2)
Radius of circle
=distance OP
=sqrt((2-(-2))^2+(5-2)^2)
=sqrt(4^2+3^2)
=5

Therefore area of square
=(2r)^2
=(2*5)^2
=10^2
=100