Find the radius of a circle which inscribes a rhombus of side a and angle A.

- Oct 17th 2010, 11:06 PMrickrishavFind the radius of a circle which inscribes a rhombus of side a and angle A.
Find the radius of a circle which inscribes a rhombus of side a and angle A.

- Oct 17th 2010, 11:14 PMMathoMan
Diameter of that circle is equal to the height of a rhombus. Draw a line frome one of the vertices perpendicular to the oposite side. Thats the height and also the diameter. Notice the right-angle triangle. You can determine the diameter (twice the radius) using the trigonometric relations for the right-angle triangle.

- Oct 18th 2010, 04:32 AMSoroban
Hello, rickrishav!

Quote:

Find the radius of a circle which inscribes a rhombus of side $\displaystyle a$ and angle $\displaystyle A.$

A rhombus inscribed in a circle is a.*square*