Answer: 5040
Step-by-step explanation:
Answer:
The answer is
<h2>x² + y² + 6x - 16y - 71 =0</h2>
Step-by-step explanation:
The equation of a circle is given by
<h3>( x - a)² + ( y - b)² = r²</h3>
where ( a , b) is the center of the circle and
r is the radius
From the question the center is
P (-3, 8) and radius = 12
Substitute the values into the above formula and solve
That's
( x + 3)² + ( y - 8) = 12²
<u>Expand the terms</u>
That's
x² + 6x + 9 + y² - 16y + 64 = 144
<u>Arrange the terms</u>
x² + y² + 6x - 16y + 9 + 64 - 144 = 0
We have the final answer as
<h3>x² + y² + 6x - 16y - 71 =0</h3>
Hope this helps you
(8,7) is the one that is not apart from the rest as it and another point are anomalies.
Answer:
b
Step-by-step explanation:
Answer:
(x -a)^2 + y^2 = 2a^2
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
Here r^2 is the square of the distance between the center and the point on the circle. That can be found using the distance formula:
d^2 = r^2 = (x2-x1)^2 +(y2 -y1)^2 = (0-a)^2 +(-a-0)^2 = 2a^2
Filling in the above formula with (h, k) = (a, 0) and r^2 = 2a^2, we find the equation to be ...
(x -a)^2 +y^2 = 2a^2