# The Area of a Cyclic Quadrilateral

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

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

The area of a 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 that the sides of the quadrilateral are m, m, m and m

The area of the cyclic quadrilateral

The area of the cyclic quadrilateral

The area of the cyclic quadrilateral square meters.