Question

find the area of the circle whose centre is (3, -5) and which passes through the point (-6, 4) ​

Answer 1

Answer:

509.14 or 508.68 unit^2

Step-by-step explanation:

Radius = distance of a point on circle from centre

Here, a point = (-6, 4)

centre = (3, -5)

Using distance formula,

Radius = √(-6 - 3)² + (4 - (-5))²

= √(-9)² + (9)²

= 9√2

As we know, area of circle = πr²,

Area of this circle = π(9√2)²

= (22/7) (162) or 3.14(162)

= 509.14 or 508.68 unit^2