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Mathematics

Grade9

Easy

Question

Write the standard equation of the circle with the center (0, 0) and radius 10.

$x^{2} + y^{2} = 1$
$x^{2} + y^{2} = 4$
$x^{2} + y^{2} = 164$
$x^{2} + y^{2} = 100$

hint Hint:

The standard equation of a circle with center (h, k) and radius r is: $left parenthesis x minus h right parenthesis squared plus left parenthesis y minus k right parenthesis squared equals r squared$ . Radius and centre is given substitute them to get the equation.

The correct answer is: $x squared plus y squared equals 100$

The standard equation of a circle with center (h, k) and radius r is: $left parenthesis x minus h right parenthesis squared plus left parenthesis y minus k right parenthesis squared equals r squared$
If the centre is (0, 0), and radius is 10.
so, the equation of circle is $left parenthesis x minus 0 right parenthesis squared plus left parenthesis y minus 0 right parenthesis squared equals left parenthesis 10 right parenthesis squared space rightwards double arrow$ $x squared plus y squared equals 100$ .
Therefore, $x squared plus y squared equals 100$ is the standard equation of the circle with the center (0, 0) and radius 10.

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