The endpoints of a diameter of a circle are ​A(1​,2​) and ​B(4​,6​). Find the area of the circle in terms of pi.

Question

Pls help I am having trouble finding the answer to this problem and starting to doubt my existence

Answer 1

The diameter is calculated using the distance formula. So, the diameter is

d = sqrt{ (2-6)² + (1-4)² } = sqrt(25) = 5 which is the diameter of the circle

S, the area of the circle is pi*d²/4 = pi*(5)2/4 = 25*pi/4 = 19.635