Question

any point on the circle x^2+y^2=a^2 can be taken as​

Answer 1

Given :

Equation of the circle is :

$x^2 + y^2 = a^2$

To Find :

Coordinates of any point on this circle =?

Solution :

The radius of this circle is = a units

Now , any point P on a circle can be taken as :

( $rcos\theta , r sin \theta$ )

Here , r is the radius of the circle and $\theta$ is the angle that the point P makes with the positive x axis .

Since , here radius of the given circle is 'a' , so any point for this circle will be :

$(a cos\theta , a sin \theta )$

Hence , any point on the given circle  $x^2 + y^2 = a^2$ will be $( a cos \theta , a sin \theta)$