Find the area of the square in the figure A square unitsSol

Find the area of the square in the figure. A = square units.

Solution

given equation of circle x²+y²=16

x²+y²=4²

radius of circle = 4 units

diagonal of square is twice the radius of circle

diagonal d =2*4

diagonal d =8

diagonal of square is squareroot2 time the length of side(s)

d =(2)s

8=(2)s

s=8/2

s=42

area of square A=s²

area of square A=(42)²

area of square A=32 square units