(C) The radius $r$ of the circle is the distance between the center $(1, 2)$ and the point $(4, 6)$ on the circle.Using the distance formula: $r = \sq

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(C) The radius $r$ of the circle is the distance between the center $(1, 2)$ and the point $(4, 6)$ on the circle.Using the distance formula: $r = \sqrt{(4-1)^2 + (6-2)^2}$$r = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$ units.The area of the circle is given by the formula $A = \pi r^2$.$A = \pi (5)^2 = 25 \pi$ sq unit.

Class 11 Mathematics 10-1.Circle and System of Circles Geometrical problems regarding circle and its properties

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

MHT CET 2007 All MHT CET

A
$5 \pi$ sq unit
B
$10 \pi$ sq unit
C
$25 \pi$ sq unit
D
None of these

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Geometrical problems regarding circle and its properties

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

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