 Suggested languages for you:

Europe

Problem 724

# Write an equation for the circle with center $$\mathrm{A}(-3,-2)$$ and radius 3.

Expert verified
$$(x + 3)^2 + (y + 2)^2 = 9$$
See the step by step solution

## Step 1: Identify the center and radius of the circle

The center of the circle, $$(x_0, y_0)$$, is given as $$\mathrm{A}(-3, -2)$$, and the radius, $$r$$, is given as 3.

## Step 2: Use the standard formula for a circle

The standard formula for a circle is $$(x - x_0)^2 + (y - y_0)^2 = r^2$$. Plug in the values for the center and radius that we identified in Step 1: $$(x + 3)^2 + (y + 2)^2 = 3^2$$.

## Step 3: Simplify the equation

Simplify the equation: $$(x + 3)^2 + (y + 2)^2 = 9$$. This is the equation of the circle with center $$\mathrm{A}(-3, -2)$$ and radius 3.

We value your feedback to improve our textbook solutions.

## Access millions of textbook solutions in one place

• Access over 3 million high quality textbook solutions
• Access our popular flashcard, quiz, mock-exam and notes features ## Join over 22 million students in learning with our Vaia App

The first learning app that truly has everything you need to ace your exams in one place.

• Flashcards & Quizzes
• AI Study Assistant
• Smart Note-Taking
• Mock-Exams
• Study Planner 