The distance formula, midpoint formula, and center radius form of the equation of a circle are closely
Question:
The distance formula, midpoint formula, and center radius form of the equation of a circle are closely related in the following problem.
A circle has a diameter with endpoints (-1, 3) and (5, -9). Find the center-radius form of the equation of this circle.
To find the center-radius form, we must find both the radius and the coordinates of the center. Find the coordinates of the center using the midpoint formula. (The center of the circle must be the midpoint of the diameter.)
Step by Step Answer:
The midpoi...View the full answer
College Algebra
ISBN: 978-0134697024
12th edition
Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Mathematics questions
-
Solve each problem. A water tank has an inlet pipe with a flow rate of 5 gal per minute and an outlet pipe with a flow rate of 3 gal per minute. A pipe can be either closed or completely open. The...
-
For each line, (a) find the slope and (b) sketch the graph. y = 2x - 4
-
Without graphing, determine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. y = x 2 - x + 8
-
Which subject does Corporate social responsibility belong to?
-
Euro-Medi Plc manufactures a wide range of medical instruments. Two testing instruments (101 and 201) are produced at its highly automated Limerick plant. Data for December 2015 are as follows:...
-
On July 1, 2014, Ticino Inc. invested CHF720,000 in a mine estimated to have 800,000 tons of ore of uniform grade. During the last 6 months of 2014, 120,000 tons of ore were mined and sold....
-
Explain the ways that chiefdoms are different from bands and tribes and describe the distribution of power in them.
-
Cameron Turnbull started a new business, Turnbull Gymnastics, and completed the following transactions during December: Dec. 1Cameron contributed $21,000 cash in exchange for common stock. 2 Received...
-
Whole Foods Market is the leading natural and organic foods supermarket, the first national "Certified Organic" grocer. The company incorporated in 1978, opened the first Whole Foods Market store in...
-
The input stream to a 4B/5B block encoder is 0100 0000 0000 0000 0000 0001 Answer the following questions: a. What is the output stream? b. What is the length of the longest consecutive sequence of...
-
Let (x) = -3x + 4 and g(x) = -x 2 + 4x + 1. Find each of the following. Simplify if necessary. g (-2)
-
Find the slope of each line, provided that it has a slope. Through (5, 6) and 5, -2)
-
Koch Corporations adjusted trial balance contained the following asset accounts at December 31, 2014: Cash $7,000; Land $40,000; Patents $12,500; Accounts Receivable $90,000; Prepaid Insurance...
-
What is the overlap between pay range A and pay range B?
-
Teams improve creativity a. when the phenomenon of groupthink sets in. b. no matter what the makeup of the team. c. when best practices for selecting the team members and roles are followed. d. when...
-
Identifying the internal strengths and weaknesses as well as the opportunities and threats found in the external environment with regard to the marketing functions of an organization is known as a. a...
-
A diversified workforce adds creativity and a variety of viewpoints to the workforce, which often helps improve a companys competitiveness and its bottom line. True or False
-
Types of training required in some careers include a. an on-the-job mentor. b. time spent as an apprentice. c. programmed learning. d. All of the above.
-
Explain a cashiers check.
-
Show that every group G with identity e and such that x * x = e for all x G is abelian.
-
What does the average rate of change represent for a linear function? What does it represent for a nonlinear function? Explain your answers.
-
Let the number of gallons G of water in a pool after t hours be given by the linear function G (t) = 4000 1001 for 0 t 40. (a) Find G (1 + h). (b) Find the difference quotient. Interpret your...
-
Let the distance in feet that a car travels in 7 seconds be given by d(t) = 81 for 0 1 6. (a) Find d(t + h). (b) Find the difference quotient for d and simplify. (c) Evaluate the difference...
-
SWOT Analysis for Prime Org Strengths . . Powerful brand identity Strong product promotion by celebrities and influencers Robust distribution network Strong customer support Innovation and Product...
-
You are a consultant specializing in L & D, and you have been retained by one of the hotels of Small Ski Resort, a small, traditional ski resort in German speaking Switzerland that has been catering...
-
Imagine that you have been tasked with finding a new CRM software system for your organization. Please research online and identify at least two options you recommend. A few items to include within...
Study smarter with the SolutionInn App