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Mathematics

Grade9

Easy

Question

Write the circle equation from the graph.

$x^{2} + y^{2} = 4$
$x^{2} + y^{2} = 9$
$x^{2} + y^{2} = 16$
$x^{2} + y^{2} = 1$

hint Hint:

By observation the centre of circle is origin (0,0) and radius is 3.
The General equation of a circle with center and radius r is: .

The correct answer is: $x squared plus y squared equals 9$

The equation of a circle with radius r and center at the origin is $x squared plus y squared equals r squared.$
From the graph, the center of circle is Origin (0, 0), and radius is 3.
So, equation of circle is $x squared plus y squared equals 3 squared rightwards double arrow$ $x squared plus y squared equals 9$
Therefore, $x squared plus y squared equals 9$ is the equation of circle in the given graph.

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