# CAT Practice : Coordinate Geometry

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Very simple Question!! Go about it by focussing on the radius of the circle or side of the square.

## Ratio of Areas

Q.26: Consider Square S inscribed in circle C, what is ratio of the areas of S and Q? Consider Circle C inscribed in Square S, what is ratio of the areas of S and Q?
1. 2 : ${\Pi}$ , 4 : ${\Pi}$
2. 4 : ${\Pi}$ , 2 : ${\Pi}$
3. 1 : ${\Pi}$ , 4 : ${\Pi}$
4. 2 : ${\Pi}$ , 1 : ${\Pi}$

Choice (A). 2 : ${\Pi}$ , 4 : ${\Pi}$

## Detailed Solution

Ratio of Areas

If square is inside the circle, ratio of areas of square to that of circle is 2 : ${\Pi}$

If circle is inside square, ratio of areas of square to that of circle is 4 : ${\Pi}$

Remember, circle area goes with ${\Pi}$, square area goes with number.

If square is inside the circle, ratio of areas of square to that of circle is 2 : ${\Pi}$

If circle is inside square, ratio of areas of square to that of circle is 4 : ${\Pi}$

Correct Answer: (A). 2 : ${\Pi}$ , 4 : ${\Pi}$

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## More questions from Geometry Triangles

Geometry is probably the most vital topic as far as CAT preparation is concerned. Geometry sets the stage for Trigonometry, Cogeo and Mensuration as well.