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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

7. Circles in the Coordinate Plane

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Exercise 6 Page 579

What is the standard equation of a circle?

(x-4)^2+(y-1)^2=25

Practice makes perfect

Let's start by recalling the standard equation of a circle.

(x- h)^2+(y- k)^2= r^2 In this form, ( h, k) is the center of the circle and r is its radius. We are told that the center of the circle is ( 4, 1) and its radius is 5. This information is enough to write the equation. (x- 4)^2+(y- 1)^2= 5^2 ⇕ (x-4)^2+(y-1)^2=25

Subchapter links

Communicate Your Answer p.575

Monitoring Progress p.576-578

Exercises p.579-580