Posted by **buggy** on Tuesday, May 18, 2010 at 7:31pm.

A square with sides of is inscribed in a circle. What is the area of one of the sectors formed by the radii to the vertices of the square?

- Geometry -
**Reiny**, Tuesday, May 18, 2010 at 9:15pm
let the radius be r

then the area of one of the sectors would simply be 1/4 of the area of the circle,

which would be (1/4)πr^2 or πr^2/4

- Geometry -
**buggy**, Tuesday, May 18, 2010 at 9:24pm
if the sides are each 6 of the square then how would you find the segment?

- Geometry -
**Reiny**, Tuesday, May 18, 2010 at 9:38pm
The 6 is the hypotenuse of a right-angled triangle with the other sides as the radius

r^2 + r^2 = 36

r^2 = 18

r = √18

sector = (1/4)π(√18)^2 = 9π/2

## Answer This Question

## Related Questions

- geometry - find the area of one segment formed by a square with sides of 6" ...
- Geometry - Circle O is inscribed is square ABCD, and at the same time, is ...
- Analytic Geometry - A square is a quadrilateral with four equal sides. The area ...
- geometry - A square ABCD is inscribed in a circle. The circle is folded to form ...
- Math - A square with a side length of 2s has a smaller square inscribed. The ...
- geometry - a circle of radius 1 is inscribed in a square. A smaller circle is ...
- Math word problem - A small circular pool is enclosed in a square. Find the area...
- Calculus - Show that the rectangle with the largest area that is inscribed ...
- Solid Mensuration - The area of a regular hexagon inscribed in a circle is equal...
- maths - Let ABCD be a square with side legnth 7cm. Another square KLMN is ...

More Related Questions