Question

Write the equation of the circle shown here.

Answer 1

Answer:

(x − 7)² + (y + 2)² = 52

Step-by-step explanation:

The equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center and r is the radius.

We know that (h, k) = (7, -2).  But we need to find the radius.  To do that, find the distance from the center to a point on the edge:

r² = (x₁ − x₂)² + (y₁ − y₂)²

r² = (7 − 1)² + (-2 − -6)²

r² = 6² + 4²

r² = 36 + 16

r² = 52

So the equation of the circle is:

(x − 7)² + (y + 2)² = 52