(x+5) ² + ( y-4. 5) ²=1 what is the perimetee

The given equation \((x+5)^2 + (y-4.5)^2 = 1\) represents a circle with the center at \((-5, 4.5)\) and a radius of \(1\).

### Perimeter of a Circle
The perimeter (or circumference) of a circle is given by the formula:

\[
\text{Perimeter} = 2 \pi r
\]

Here, \(r = 1\).

\[
\text{Perimeter} = 2 \pi \times 1 = 2\pi
\]

The perimeter of the circle is \(2\pi \approx 6.283\).

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### Related Questions:
1. What is the area of the circle?
2. How do you find the center of a circle from its equation?
3. What is the general equation of a circle?
4. How do you find the distance between two points on a coordinate plane?
5. How would the equation change if the radius was doubled?

**Tip:** The equation \((x - h)^2 + (y - k)^2 = r^2\) always represents a circle with center \((h, k)\) and radius \(r\).

(x+5)² + (y-4.5)²=1 what is the perimeter

Learn how to find the perimeter of a circle represented by the equation (x+5)² + (y-4.5)² = 1. This problem covers key geometry concepts, including the standard equation of a circle and the perimeter formula 2πr. Suitable for students in Grades 8-10.

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