/*! 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 83 Find the center and radius of th... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 83

Find the center and radius of the circle given the endpoints of the diameter of the circle.

Short Answer

Expert verified
The center of the circle is given by the coordinates (h, k) and the radius by r.

Step by step solution

01

Identify the coordinates

Let's denote the endpoints of the diameter as A(x1, y1) and B(x2, y2).
02

Find the center of the circle

You can find the center (h, k) of the circle by using the midpoint formula. Thus, h = (x1 + x2)/2, k = (y1 + y2)/2. Substitute the given coordinates into the formula and calculate the center.
03

Calculate the distance between the center and one end

You can calculate the radius of the circle (r) using the distance formula, which is r = sqrt[(x2-h)虏 + (y2-k)虏]. Substitute the coordinates of the center and one endpoint into the formula, then calculate the radius.

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

Find (a) \(f \circ g\), (b) \(g \circ f\), and (c) \(f \circ f\). \(f(x)=2 x-1, \quad g(x)=7-x\)

The weekly cost \(C\) of producing \(x\) units in a manufacturing process is given by the function \(C(x)=50 x+495\) The number of units \(x\) produced in \(t\) hours is given by \(x(t)=30 t\) Find and interpret \((C \circ x)(t)\).

Describe the sequence of transformations from \(f(x)=\sqrt[3]{x}\) to \(y\). Then sketch the graph of \(y\) by hand. Verify with a graphing utility. \(y=\sqrt[3]{x+1}-1\)

Find (a) \((f+g)(x)\), (b) \((f-g)(x)\), (c) \((f g)(x)\), and (d) \((f / g)(x)\). What is the domain of \(f / g\) ? \(f(x)=x+1, \quad g(x)=x-1\)

Show that \(f\) and \(g\) are inverse functions by (a) using the definition of inverse functions and (b) graphing the functions. Make sure you test a few points, as shown in Examples 6 and 7 . \(f(x)=3-4 x, \quad g(x)=\frac{3-x}{4}\)
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

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.