If the perimeter and the area of a circle are numerically equal then the radius of the circle is:
A) 2 UNITS
B) π UNITS
C) 4 UNITS
D) 7 UNITS
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Step-by-step explanation:
given,
perimeter = area
2πr = πr^2
2r = r^2. ( π is common )
r^2 - 2r = 0
r (r-2) = 0 ( common r is taken out side)
r = 0 or r - 2 = 0
r = 0 or r = 2
since radius of a circle cannot be 0,
radius = 2 units
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