Find an equation of the circle that satisfies the given conditions. Center (4, -5) and passes through (9, 4)

Question

Find an equation of the circle that satisfies the given conditions. Center (4, -5) and passes through (9, 4)

Answer 1

An equation of the circle with center (h,k) and radius r is (x - h)² + (y - k)² = r²

So, we have (x - 4)² + (y + 5)² = r²

Since (9,4) is on the graph, (9 - 4)² + (4 + 5)² = r².

r² = 106

Equation of circle: (x - 4)² + (y + 5)² = 106