Maths-

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Easy

### Question

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

- 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:

#### 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 = πr^{2} (π = 22/7).

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