Question

Find the area of a Cyclic Quadrilateral whose sides are 40cm, 75cm, 77cm and 36cm respectively

Answer 1

Step-by-step explanation:

Given :-

• 4 sides of quadrilateral
• p = 36 cm
• q = 77 cm
• r = 75 cm
• s = 40 cm

To Find :-

• Find the area of a Cyclic Quadrilateral

Solution :- -

s = (p + q + r + s) / 2

s = (36 + 77 + 75 + 40) / 2

s = 114 cm

Area of cyclic quadrilateral is calculated as -

Area = √[(s-p)(s-q)(s-r)(s-s)]

Area = √[(114-36)(114-77)(114-75)(114-40)]

Area = √(78×37×39×74)

Area = √(8328996)

Area = 2886 cm^2

Hence, area of cyclic quadrilateral is 2886 cm^2.