A quadrilateral inscribed is a circle is known as a cyclic quadrilateral. The proof is beyond the scope of this tutorial and will discuss in advanced tutorial, only the formula is given for application.

If , , and are the sides of a cyclic quadrilateral and if , then

Area of cyclic quadrilateral

__Example__:

In a circular grassy plot, a quadrilateral shape with its corners touching the boundary of the plot is to be paved with bricks. Find the area of the quadrilateral when the sides of the quadrilateral are m, m, m and m.

__Solution__:

Given the sides of the quadrilateral are m, m, m and m

Area of cyclic quadrilateral

Area of cyclic quadrilateral

Area of cyclic quadrilateral

Square meter.

### Comments

comments