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Big Ideas Math Integrated II
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Big Ideas Math Integrated II View details
7. Circles in the Coordinate Plane
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Exercise 4 Page 619

Use the Distance Formula.

(x-h)^2+(y-k)^2=r^2

Practice makes perfect

Let's consider a circle with a center at point ( h, k) and a radius of r^2. Let point (x,y) lie on this circle.

To write the equation of this circle we will use the Distance Formula. Let's write that the distance between point ( h, k) and (x,y) is equal to r. Then we will raise both sides of the equation to the power of 2.

sqrt((x- h)^2+(y- k)^2)= r
RaiseEqn

LHS^2=RHS^2

(sqrt((x-h)^2+(y-k)^2))^2=r^2
PowSqrt

( sqrt(a) )^2 = a

(x-h)^2+(y-k)^2=r^2
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