The Circumference of a Circle is:
2pi(r)
r being the radius of the circle.
I Hope this Helps!
Answer: y + 1 = -1 (x + 10)
Step-by-step explanation: you plug in the slope, as well as the given point and put it into point slope formula
8/3 is your simplified answer
Answer:
(x - 3)² + (y + 5)² = 10
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 5 ) , then
(x - 3)² + (y - (- 5) )² = r² , that is
(x - 3)² + (y + 5)² = r²
r is the distance from the centre to a point on the line
Calculate r using the distance formula
r = ![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%20%20%20%20%7D)
with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (6, - 4)
r = ![\sqrt{(6-3)^2+(-4+5)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%286-3%29%5E2%2B%28-4%2B5%29%5E2%7D)
= ![\sqrt{3^2+1^2}](https://tex.z-dn.net/?f=%5Csqrt%7B3%5E2%2B1%5E2%7D)
= ![\sqrt{9+1}](https://tex.z-dn.net/?f=%5Csqrt%7B9%2B1%7D)
=
⇒ r² = (
)² = 10
(x - 3)² + (y + 5)² = 10 ← equation of circle