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The distance formula, midpoint formula, and center radius form of the equation of a circle are closely

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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.

Another way to find the radius is to repeat Exercise 54, but use the point (5, -9) rather than (-1, 3). Do this to obtain the same answer found in Exercise 54.


Exercise 54

There are several ways to find the radius of the circle. One way is to find the distance between the center and the point 1-1, 32. Use the result from Exercise 53 and the distance formula to find the radius.

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College Algebra

College Algebra

ISBN: 978-0134697024

12th edition

Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

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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.

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