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 rightangled 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
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