The area of the circle whose centre is at (1, 2) and passing through (4, 6) is

Question

The area of the circle whose centre is at (1, 2) and passing through (4, 6) is (A) 5 π sq unit (B) 10 π sq unit (C) 25 π sq unit (D) none of these

Tardigrade Admin · Accepted Answer

Area of circle =π r2 The centre of circle is (1,2) and point on the circle is (4,6). Radius = distance between centre and point on. Circle =√(4-1)2+(6-2)2=√32+42 =5 As we know Radius of circle =π r2 =π(5)2 =25 π sq unit

Q. The area of the circle whose centre is at $(1, 2)$ and passing through $(4, 6)$ is

$5 π$ sq unit

$10 π$ sq unit

$25 π$ sq unit

none of these

Area of circle $= π r^{2}$
The centre of circle is $(1, 2)$ and point on the circle is $(4, 6)$ .
Radius $=$ distance between centre and point on. Circle
$= (4 - 1)^{2} + (6 - 2)^{2} = 3^{2} + 4^{2}$
$= 5$
As we know Radius of circle $= π r^{2}$ $= π (5)^{2}$
$= 25 π$ sq unit

Q. The area of the circle whose centre is at (1,2) and passing through (4,6) is

5π sq unit

10π sq unit

25π sq unit