Area of the circle centre at (1, 2) and passing through (4, 6) is
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Step-by-step explanation:
Answer
The centre of the circle is (1,2).
(x−1)
2
+(y−2)
2
=a
2
It passes through (4,6).
Therefore, (4−1)
2
+(6−2)
2
=a
2
⇒a
2
=9+16
⇒a=5
Thus radius a=5
Hence, area of circle is πa
2
=π(5)
2
=25π
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