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Katyanochek1 [597]
3 years ago
12

A circle is centered at (2,-5) and has radius 3. Write its equation in standard form.

Mathematics
1 answer:
nataly862011 [7]3 years ago
5 0

Answer:

Option (D) is correct

(x-2)^{2} +(y+5)^{2} = 9

Step-by-step explanation:

A circle has (a , b ) are the coordinates of the centre and r = radius .

Given.

A circle is centered at (2,-5) and has radius 3

Let a=2 and b=-5 and r=3

The standard form of the circle is.

(x-a)^{2} +(y-b)^{2} = r^{2}------(1)

Put a, b and r value in equation  1.

(x-2)^{2} +(y-(-5))^{2}= 3^{2}

(x-2)^{2} +(y+5)^{2} = 9

So. the standard form of equation is.

(x-2)^{2} +(y+5)^{2}= 9

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