grade 10 · GEOM-016

Read a circle equation

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

Learn togetherFresh problem · seed 1191270689

Which equation represents a circle centered at \((4, 5)\) 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.

\((x + 4)^2+(y - 5)^2=16\)\((x - 4)^2+(y - 5)^2=16\)\((x + 4)^2+(y + 5)^2=16\)\((x - 4)^2+(y - 5)^2=4\)