Rectangle ABCD is inscribed in circle P. What is the area of circle P?
(1) The area of rectangle ABCD is 100.
(2) Rectangle ABCD is a square.
I said A because if a rectangle ABCD is inscribed in a circle, it must be a square. If it is a square, it's side must be 10, and it's diagonal 10(root2). Therefore, we can calculate the area of the circle.
However, official answer says C.
Why is my reasoning incorrect?
(1) The area of rectangle ABCD is 100.
(2) Rectangle ABCD is a square.
I said A because if a rectangle ABCD is inscribed in a circle, it must be a square. If it is a square, it's side must be 10, and it's diagonal 10(root2). Therefore, we can calculate the area of the circle.
However, official answer says C.
Why is my reasoning incorrect?
