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Choose the correct alternative: Area of the circle centre at (1, 2) and passing through (4, 6) is - Mathematics and Statistics

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Question

Choose the correct alternative:

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

Options

  • 10π

  • 25π

  • 100π

MCQ
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Solution

25π

Explanation:

r = CA

`= sqrt((4- 1)^2 + (6 - 2)^2)`

`= sqrt(9 + 16)`

`= sqrt 25`

= 5

∴ area = πr2

= π × 52

= 25 π

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Different Forms of Equation of a Circle
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Chapter 6: Circle - Miscellaneous Exercise 6 [Page 137]

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