Question

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 – 9)2 = 100
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Answer 1

Answer:

Therefore,

$(x+4)^{2}+(y-9)^{2}=25$

Step-by-step explanation:

Given:

Let the Center be

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

Diameter = d = 10 units

∴ $Radius=\dfrac{Diameter}{2}=\dfrac{10}{2}=5\ units$

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,

$(x+4)^{2}+(y-9)^{2}=25$

Answer 2

Answer:

b

Step-by-step explanation:

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