McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
8. Equations of Circles
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Exercise 21 Page 778

Substitute the center point and the radius into the standard equation of a circle.

x^2+y^2=2025

Practice makes perfect
Let's begin by recalling the standard equation of a circle. In this equation, ( h, k) represents the center of a circle and r is the radius. (x- h)^2+(y- k)^2= r^2In our exercise, we are given that the center of the radar screen is the origin and each ring is 15 miles farther from the center. This means that the radius of the third ring will be three times 15. 3*15=45 The radius of the third ring is 45 and the center point is ( 0, 0). Let's substitute these values into the standard equation of a circle.
(x- h)^2+(y- k)^2= r^2
(x- 0)^2+(y- 0)^2= 45^2
x^2+y^2=45^2
x^2+y^2=2025