Question

Very confusing i know

Center (-10, -4), Point on Circle: (4,2)
h=
k=
r^2=
Fill in the parenthesis for the equation of the circle:
(Blank 1)² +(Blank 2)²= (Blank 3)

*Just type what you would write in the parentheses with no spaces

Answer 1

• (x + 10)² + (y + 4)² = 232

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