Posted by **ainder** on Wednesday, December 23, 2009 at 10:38pm.

Find the area of a square inscribed in a circle of radius 10cm

- geometry -
**MathMate**, Thursday, December 24, 2009 at 7:38am
The diagonal of a square inscribed in the given circle measures the same as the diameter of the circle, 2*10=20 cm.

Since the diagonal cuts the square into two right triangles, we consider one of the two right triangles.

Let the side of the square = x,

then area of square = x²

From Pythagoras theorem,

x² + x² = 20²

we conclude that

area of square = x² = 20²/2

## Answer this Question

## Related Questions

- Geometry - Circle O is inscribed is square ABCD, and at the same time, is ...
- Calculus - Show that the rectangle with the largest area that is inscribed ...
- geometry - A square ABCD is inscribed in a circle. The circle is folded to form ...
- geometry maths - a circle of radius 1 is inscribed in a square. A smaller circle...
- geometry - how do i find the probability that a point in a figue lies in the ...
- GEOMETRY CIRCLE - 1.An isosceles triangle with each leg measuring 13 cm is ...
- Solid Mensuration - The area of a regular hexagon inscribed in a circle is equal...
- GEOMETRY CIRCLES PLEASE - 1.An isosceles triangle with each leg measuring 13 cm ...
- math - 1. A wire of length x is bent into the shape of a square. Express the ...
- geometry - a circle of radius 1 is inscribed in a square. A smaller circle is ...