The area of a cyclic quadrilateral whose sides are 28, 32, 59, 61 is _______ sq. units.

To find the area of a cyclic quadrilateral, we can use Brahmagupta's formula. This formula states that the area of a cyclic quadrilateral can be calculated if the lengths of the sides are known. The formula is:

Area = sqrt[(s-a)(s-b)(s-c)(s-d)]

where s is the semiperimeter of the quadrilateral, and a, b, c, and d are the lengths of the sides.

Step 1: Calculate the semiperimeter (s) s = (a + b + c + d) / 2 s = (28 + 32 + 59 + 61) / 2 s = 90

Step 2: Substitute the values of s, a, b, c, and d into Brahmagupta's formula Area = sqrt[(90-28)(90-32)(90-59)(90-61)] Area = sqrt[(62)(58)(31)(29)] Area = sqrt[ 3317748 ] Area = 1821.47 square units

So, the area of the cyclic quadrilateral whose sides are 28, 32, 59, 61 is approximately 1821.47 square units.