Question

Square ABCD is incribed in Circle O. If the side of the square is 2 find the area of Circle O.

a. pi
b. 2 pi
c. 4 pi
d. 8 pi
e. 16 pi

please answer and explain

Answer 1

Hint: If you have a side of the square, then you can get the diagonal from one corner of the square to the other.

Answer 2

A=pi r^2

= pi 2^2

= 4 pi

answer c

am i right?

Answer 3

the area of the square is 2^2, but the diameter of the circle is the diagonal of the square.

Since the side is 2, the diagonal is 2√2
The radius is half the diameter, or r = √2

the area of the circle is thus pi r^2 = 2pi