Question

The endpoints of a diameter of a circle are A(2,3) and B(8,11). Find the area of the circle in terms of pi

Answer 1

Explanation:

use Pythagoras theorem:

x distance = 8 - 2 = 6units

y distance = 11 - 3 = 8units

c^2 = a^2 + b^2

c^2 = 6^2+ 8^2

c^2 = 36 + 64 = 100

c = 10

radius = 10÷ 2 = 5

area = pi × r^2

= pi × 5^2

= 25 pi