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Question

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

  1. 5 pi
  2. 10 pi
  3. 25 pi
  4. None of these

Hint:

A circle closed plane geometric shape. In technical terms, a circle is a locus of a point moving around a fixed point at a fixed distance away from the point.

The correct answer is: 25 pi


    Here, we have to find the area of circle.
    Now, the centre of circle is C (1, 2).
    The circle passes through the point P(4, 6).
    Radius = CP
    = √(4-1) 2 + (6-2) 2
    = √(3) 2 + (4) 2
    = √9+16
    =√25
    =5
    Therefore, radius is 5 unit.
    Now, Area of circle = π × 5 ×5
    = 25π .
    Hence, the correct option is (a).

    The area of a circle is the space occupied by the circle in a two-dimensional plane. Area of circle = πr2 (π = 22/7).

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