Chapter 13: Q. 23 (page 526)

Write an equation of the circle that has the given center and radius.
$C (- 4, - 7); r = 5$ .

Short Answer

Expert verified

The equation of the circle is ${(x + 4)}^{2} + {(y + 7)}^{2} = 25$

Step by step solution

Step-1 – Given

The given center = C(-4, -7) and radius = r = 5.

Step-2 – To determine

We have to find the equation of the circle.

Step-3 – Calculation

Given that center = (a, b) = (-4, -7) and radius = r = 5.

We will plug them in the standard form of a circle formula to get the equation:

${(x - a)}^{2} + {(y - b)}^{2} = r^{2}$

$\begin{array}{l} {(x - (- 4))}^{2} + {(y - (- 7))}^{2} = {(5)}^{2} \\ {(x + 4)}^{2} + {(y + 7)}^{2} = 25 \end{array}$

So, the equation of the circle is ${(x + 4)}^{2} + {(y + 7)}^{2} = 25$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Write an equation of the circle that has the given center and radius.
$C (- 4, - 7); r = 5$ .

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Decision Maths

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Write an equation of the circle that has the given center and radius.C(−4,−7) ; r=5.

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Decision Maths

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Write an equation of the circle that has the given center and radius.
$C (- 4, - 7); r = 5$ .