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

• October 18th 2010, 12:06 AM
rickrishav
Find 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.
• October 18th 2010, 12:14 AM
MathoMan
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.
• October 18th 2010, 05:32 AM
Soroban
Hello, rickrishav!

Quote:

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

A rhombus inscribed in a circle is a square.