grade 10 · GEOM-016

Read a circle equation

Interpret signed binomials and the squared radius in standard circle form.

Learn togetherFresh problem · seed 1579294007

Which equation represents a circle centered at \((2, 3)\) with radius \(4\)?

Let's work it out together.

Work through one checkpoint at a time. Your answer area opens after the reasoning.

Checkpoint 1

Use standard form \((x-h)^2+(y-k)^2=r^2\).
Checkpoint 2

A negative center coordinate creates a plus sign inside its binomial.
Checkpoint 3

Square the radius on the right side.

\((x + 2)^2+(y + 3)^2=16\)\((x - 2)^2+(y - 3)^2=4\)\((x + 2)^2+(y - 3)^2=16\)\((x - 2)^2+(y - 3)^2=16\)