Which equation represents a circle with a center at (-4, 9) and a diameter of 10 units? BEOO (x - 9)2 + (y + 4)2 = (x +4)2 + (y - 9)2 = (x - 9)2 + (y + 4)2 = 100 (x + 4)2 + (y –…

Question

asked Oct 23, 2021 205k views

2 Answers

Josemigallas · Answer 1 · 2021-10-28T23:23:00+0000

Answer:

Therefore,

Explanation:

Given:

Let the Center be

C (h , k)=(-4 , 9)

Diameter = d = 10 units

∴
$Radius=(Diameter)/(2)=(10)/(2)=5\ units$

To Find:

Equation of Circle =?

Solution:

The Equation of the Circle with the center at (h, k) and the radius r is given by

(x-h)^(2)+(y-k)^(2)=r^(2)

Where,

C (h , k)=(-4 , 9) = Center

r = radius

Substituting the values we get

(x-(-4))^(2)+(y-9)^(2)=5^(2)

(x+4)^(2)+(y-9)^(2)=25 ...AS required

Therefore,