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Question

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

A
5π sq. units
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B
15π sq. units
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C
25π sq. units
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D
30π sq. units
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Solution

The correct option is A 25π sq. units
Coordinates of the centre of the circle (x1,y1)=(1,2)
and coordinates of the point through which it passes (x2,y2)=(4,6).
We know that the radius of the circle r=(x2x1)2+(y2y1)2=(41)2+(62)2=9+16=5
Therefore, the area of the circle
πr2=π(5)2=25π sq. units

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