Write the equation of the circle in standard form?

Science & Mathematics by Anonymous 2018-05-18 13:05:54

Social Science

4 answers

The center of a circle and a point on the circle are given. Write the equation of the circle in standard form. center: (5,-4), point on the circle: (-4,4) The equation of the circle in standard form is: ?

Anonymous

Use the center and the point to find the radius r = √((-4-5)² + (4-(-4))²) = √145 (x-5)² + (y+4)² = 145
Anonymous

The equation of the circle centred at (x₀,y₀) and passing through (x₁,y₁) is: (x-x₀)² + (y-y₀)² = (x₁-x₀)² + (y₁-y₀)² You can substitute the values for x₀, y₀, x₁, and y₁ from your question.
Anonymous

(x - 5)^2 + (y + 4)^2 = 145
Anonymous

(5,-4)(-4,4) radius = √((4--4)^2 + (-4-5)^2) = √(64+81) = √(145) (x+4)^2 + (y-4)^2 = 145