The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.
The equation of a circle of <u>radius r and center</u>
is given by:
![(x - x_0)^2 + (y - y_0)^2 = r^2](https://tex.z-dn.net/?f=%28x%20-%20x_0%29%5E2%20%2B%20%28y%20-%20y_0%29%5E2%20%3D%20r%5E2)
- The diameter is <u>twice the radius</u>, and is the <u>maximum distance</u> between two points inside a circle.
In this problem, the circular path is modeled by:
![x^2 + y^2 - 10x - 18y - 378 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%20y%5E2%20-%2010x%20-%2018y%20-%20378%20%3D%200)
We complete the squares to place it in the standard format, thus:
![x^2 - 10x + y^2 - 18y = 378](https://tex.z-dn.net/?f=x%5E2%20-%2010x%20%2B%20y%5E2%20-%2018y%20%3D%20378)
![(x - 5)^2 + (y - 9)^2 = 378 + 25 + 81](https://tex.z-dn.net/?f=%28x%20-%205%29%5E2%20%2B%20%28y%20-%209%29%5E2%20%3D%20378%20%2B%2025%20%2B%2081)
![(x - 5)^2 + (y - 9)^2 = 484](https://tex.z-dn.net/?f=%28x%20-%205%29%5E2%20%2B%20%28y%20-%209%29%5E2%20%3D%20484)
Thus, the radius is:
![r^2 = 484 \rightarrow r = \sqrt{484} = 22](https://tex.z-dn.net/?f=r%5E2%20%3D%20484%20%5Crightarrow%20r%20%3D%20%5Csqrt%7B484%7D%20%3D%2022)
Then, the diameter is:
![d = 2r = 2(22) = 44](https://tex.z-dn.net/?f=d%20%3D%202r%20%3D%202%2822%29%20%3D%2044)
The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.
A similar problem is given at brainly.com/question/24992361
Answer:
24sq.ft
Step-by-step explanation:
<h3>
Area of a parallelogram = Base*Height</h3>
Here,
→Base = 6ft, Height = 4ft
→ 6*4ft
→24sq.ft
<h3 /><h3>
While writing area of a figure, we have to express the area in sq which means square</h3>
<h2>
<em>ThankYou</em></h2>
<em>Please mark me as brainliest</em>
Answer:
30
Step-by-step explanation:
third side is the hypotenuse since it is opposite to 90 degree.
using pythagoras theorem
a^2 + b^2 = c^2
24^2 + 18^2 = c^2
576 + 324 = c^2
900 = c^2
= c
30 = c
therefore third side is 30.
Answer:
What is the measurements?
Step-by-step explanation:
Answer:
the answer is d
Step-by-step explanation: