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Question

The radius of the circle x2+y2+2x+8y+8=0 is


A
5 units
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B
4 units
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C
3 units
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D
8 units
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Solution

Given:

Equation of the circle is x2+y2+2x+8y+8=0

We know that, the general form of the circle is ax2+by2+2gx+2fy+c=0,a,b0
Comparing with the general form of circle equation, we get

a=1,b=1 and 

2g=2g=1

2f=8f=4

c=8
Centre (g,f)=(1,4)

Radius, r=g2+f2c

Radius of the circle (r)=g2+f2c

r=(4)2+(1)28

r=16+18

r=9

r=3

Hence, Option C is correct.


Mathematics

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