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dem82 [27]
3 years ago
7

Which equation represents a circle with a center at (2, –8) and a radius of 11?

Mathematics
2 answers:
snow_lady [41]3 years ago
8 0
The equation of a circle is defined by:  (x - h)² + (y - k)² = r²  where
(h,k) represents the center of your circle and r = the radius

So (x - 2)² + (y + 8)² = 121 is your equation
postnew [5]3 years ago
7 0

Answer:

The  equation of circle is x^2+y^2-4x+16y-61=0        

Step-by-step explanation:

Given : A circle with a center at (2, –8) and a radius of 11.

To find : Which equation represents a circle?

Solution :

The general equation of the circle is

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

Where, (h,k)=(2,-8) is the center and r is the radius r=11.

Substitute the value in the formula,

(x-2)^2+(y-(-8))^2=11^2

x^2-4x+4+y^2+16y+64=121

x^2+y^2-4x+16y+60=121

x^2+y^2-4x+16y-61=0

Therefore, The  equation of circle is x^2+y^2-4x+16y-61=0

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