Question

Very confusing i know

Answer 1

Answer:

• (x + 10)² + (y + 4)² = 232

Step-by-step explanation:

Given

• Center = (-10, -4)
• Point on circle = (4, 2)

To find

• The equation of circle

Solution

Remember the standard equation of circle:

• (x - h)² + (y - k)² = r², where (h, k) is the center and r is radius

We have

• h = -10, k = -4

Use distance formula (Pythagorean theorem) to work out the length of the radius. We know that radius is the distance from the center to any point on the circle.

Here we are finding the distance between points (-10, -4) and (4, 2)

• r² = (-10 - 4)² + (-4 - 2)²
• r² = 14² + 6²
• r² = 232

So the equation is:

• (x + 10)² + (y + 4)² = 232