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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 3 Page 579

What is the standard equation of a circle?

x^2+y^2=4

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. Let's consider the graph of our circle.

We see that the center of the circle is ( 0, 0) and its radius is 2. This information is enough to write the equation. (x- 0)^2+(y- 0)^2= 2^2 ⇕ x^2+y^2=4

Subchapter links

Communicate Your Answer p.575

Monitoring Progress p.576-578

Exercises p.579-580