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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 36 Page 795

What is the standard form of an equation of a circle?

(x-1)^2+(y-2)^2=49

Practice makes perfect

Let's start by recalling the standard form of an 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 ( 1, 2) and its diameter is 14. Since the radius of a circle is half the length of the diameter, the radius of our circle will be 7. Now we have all information to write the equation. (x- 1)^2+(y- 2)^2= 7^2 ⇕ (x-1)^2+(y-2)^2=49

Subchapter links

1 Circles and Circumference p.792

2 Measuring Angles and Arcs p.792

3 Arcs and Chords p.793

4 Inscribed Angles p.793

5 Tangents p.794

6 Secants, Tangents, and Angle Measures p.794

7 Special Segments in a Circle p.795

8 Equations of Circles p.795

9 Areas of Circles and Sectors p.796