Which number in the standard equation for a circle centered at the origin should one increase to make the circle larger?

Question

Which number in the standard equation for a circle centered at the origin should one increase to make the circle larger?

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Solution

In the standard equation for a circle centered at the origin, which is given by:

$x^2 + y^2 = r^2$

the variable $r$ represents the radius of the circle. To make the circle larger, you need to increase $r$ . Specifically, increasing $r$ will increase the radius of the circle, which in turn enlarges the circle itself.

Key Points:

The standard equation is $x^2 + y^2 = r^2$ .
$r$ determines the size of the circle.
Increasing $r$ results in a larger circle.

So, to expand the size of the circle, one should increase the value of $r^2$ .

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Which number in the standard equation for a circle centered at the origin should one increase to make the circle larger?

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