Q. The diameter of a circle is D and the area is A . If the given the circle is inscribed in a rectangle, what is the area of the circle?
1] The diagonal of the rectangle is 12 cm
2] The area of the rectangle is 62 cm^2
[spoiler]the answer says this: Given : circle is inscribed in a rectangle , So it is a square. i.e. diameter of circle = side of square.
1) diagonal is 12 cm so side = 12 / sqrt(2), so area of circle can be found. Sufficient
2) area is 62, so side = sqrt(62), so area of circle can be found. Sufficient [/spoiler]
How can he deduce the bold part? a square is not a rectangle ?
1] The diagonal of the rectangle is 12 cm
2] The area of the rectangle is 62 cm^2
[spoiler]the answer says this: Given : circle is inscribed in a rectangle , So it is a square. i.e. diameter of circle = side of square.
1) diagonal is 12 cm so side = 12 / sqrt(2), so area of circle can be found. Sufficient
2) area is 62, so side = sqrt(62), so area of circle can be found. Sufficient [/spoiler]
How can he deduce the bold part? a square is not a rectangle ?
