Question

The area of the circle centred at (1, 2) and passing through (4, 6) is ______.

Options

• 5π

• 10π

• 25π

• None of these

Answer 1

The area of the circle centred at (1, 2) and passing through (4, 6) is 25π.

Explanation:

Given that the centre of the circle is (1, 2)

Radius of the circle = `sqrt((4 - 1)^2 + (6 - 2)^2)`

= `sqrt(9 + 16)`

= 5

So, the area of the circle = `pir^2`

= `pi xx (5)^2`

= 25π