/*! 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} Q.40 Find the standard form of the eq... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q.40 (page 50)

Find the standard form of the equation of each circle.

Circle with endpoints of a diameter at (4,3) and (0,1)

Short Answer

Expert verified

The standard form of the equation of a circle with endpoints of a diameter at (4,3) and (0, 1) is(x-2)2+(y-2)2=5


Step by step solution

01

Step 1. Given information

Here given that circle with endpoints of a diameter at (4,3) and (0,1).

We need to find the standard form of the equation of a circle.

02

Step 2. Explanation about finding  radius r of the circle

According to the question circle endpoint with a diameter is

(4,3) and (0,1) . The center of the circle is the midpoints of the circle endpoints (4,3) and (0,1) , hence the center is (4+02,3+12)=(2,2),weknowthatmidpoint(x,y)isbetween(x1,y1)and(x2,y2)andthen(x,y)=(x1+x22,y1+y22) The radius is the distance between the endpoint to the center, thus radius r is

r=(4-2)2+(3-2)2=(2)2+1=4+1=5

03

Step 3. Formation of standard of the equation of the circle

The standard form of the equation of a circle is of radius r with center at the

origin (h, k) is (x-h)2+(y-k)2=r2

Thus the equation of the given circle is(x-2)2+(y-2)2=52(x-2)2+(y-2)2=5

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

Graph the line containing the point P and having slope m.

P(2,4),m=-34

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

(-2,3);(2,1)

Find the length of the line segment. Assume that the endpoints of each line segment have integer coordinates.

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

3x2=4x+4

Find the distance d(P1,P2)between the points P1andP2.

P1=(4,-3);P2=(6,4)
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

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.