The area of a circle whose centre is -h- k- and radius a isNone of these- -h-2 - k-2 - a-2- -a-2 hk- -a-2

The correct option is D π (a^2Since area π r^2, where r = a ⇒ Area = π a^2. ...

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Standard VIII

Mathematics

Definition of circle

The area of a...

Question

The area of a circle whose centre is (h, k) and radius a is

π (h^{2} + k^{2} - a^{2})

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π (a^{2} h k

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π (a^{2}

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None of these

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Solution

The correct option is C $π (a^{2}$
Since area $π r^{2},$ where r = a $\Rightarrow$ Area = $π a^{2} .$

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which one of the following statements are correct?
1) Equation of a circle with centre $(h, k)$ and radius r is given by $(x - h)^{2} + (y - k)^{2} = r^{2}$
2) Equation of circle with $A (x_{1}, y_{1})$ and $B (x_{2}, y_{2})$ as extremities of diameter is given by

$(x - x_{1}) (y - y_{1}) + (x - x_{2}) (y - y_{2}) = 0$

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The area of a circle whose centre is (h, k) and radius a is

The correct option is C π(a2Since area πr2, where r = a ⇒ Area = πa2.

The correct option is C $π (a^{2}$
Since area $π r^{2},$ where r = a $\Rightarrow$ Area = $π a^{2} .$