/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 40 Give an example of a circle's eq... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Problem 40

Give an example of a circle's equation in standard form. Describe how to find the center and radius for this circle.

Short Answer

Expert verified
For the circle equation \( (x-3)^2 + (y-4)^2 = 9 \), the center is at (3,4) and the radius is 3.

Step by step solution

01

Write down an example of a circle's equation in standard form

One example of a circle's equation in standard form can be \( (x-3)^2 + (y-4)^2 = 9 \). This is a valid circle equation since it follows the standard form.
02

Identify the center of the circle

The center of the circle can be determined by the numbers which subtract from x and y in the equation. In our example, the center will be (3, 4). This is derived from the standard form where (a, b) represents the center of the circle.
03

Identify the radius of the circle

The radius of the circle is given by the square root of the constant on the right side of the equation. In the case of our example, the radius will be \(\sqrt{9}\) or 3.
04

Summary

So, for the circle equation \( (x-3)^2 + (y-4)^2 = 9 \), the center is at (3,4) and the radius is 3.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Use the vertex and intercepts to sketch the graph of each equation. If needed, find additional points on the parabola by choosing values of y on each side of the axis of symmetry. $$x=y^{2}-6 y+8$$

The equation of a parabola is given. Determine: a. if the parabola is horizontal or vertical. b. the way the parabola opens. c. the vertex. $$y=-(x+3)^{2}+4$$

The equation of a parabola is given. Determine: a. if the parabola is horizontal or vertical. b. the way the parabola opens. c. the vertex. $$x=-(y+3)^{2}+4$$

The equation of a parabola is given. Determine: a. if the parabola is horizontal or vertical. b. the way the parabola opens. c. the vertex. $$y=2(x-3)^{2}+1$$

Indicate whether the graph of each equation is a circle, an ellipse, a hyperbola, or a parabola. $$3 x^{2}=27-3 y^{2}$$
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.