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Big Ideas Math Geometry Virginia

BI

Big Ideas Math Geometry Virginia View details

7. Circles inthe Coordinate Plane

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Exercise 4 Page 517

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 .

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

$LHS^{2} = RHS^{2}$

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

$(a)^{2} = a$

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

Subchapter links

Communicate Your Answer p.517

Monitoring Progress p.518-520

Exercises p.521-522