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Question

If the area of the circle 4x2+4y28x+16y+k=0 is 9π sq. units, then k=

A
4
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B
16
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C
±16
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D
16
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Solution

The correct option is D 16
Given equation of circle is 4x2+4y28x+16y+k=0x2+y22x+4y+k4=0
Radius of the circle is r=(1)2+(2)2k4=20k4
Given Area of the circle is 9π sq.units
πr2=9π20k4=920k=36k=16

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