The area of the circumcircle of a right angle triangle whose sides are given as 8 cm,$$4\sqrt5$$​ cm and 12 cm, is given by ____________.

Correct option is C

Given:
Right-angled triangle with sides = 8 cm, 4$$\sqrt5$$​ cm, and 12 cm.
Formula Used:
For a right-angled triangle, the hypotenuse is the diameter of the circumcircle.
Radius of circumcircle = $$\dfrac{\text{Hypotenuse}}{2}$$​​
Area of circumcircle = πr²
Solution:
Here, the longest side = 12 cm i.e. Hypotenuse.
So, Radius r = $$\frac {12}2$$​ = 6 cm.
Area of circumcircle = π × (6)² = 36π cm².