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Answer:
Radius: 8
Circumference: 50.27
πr^2 = Area of circle
201.06 = πr^2
divide by pi
201.06 / π = 63.9993857161 = 64
64 = r^2
Square root both sides to get radius.
= 8
r = 8
Circumference = π x diameter
Diameter = 2 x radius
Circumference = π x 16 = 50.2654824574 = 50.27
We know that According to Algebra of Real Functions :
If f and g are two real functions which are defined under the same domain then
Now we need find the Domain of this Function :
The Condition for Square Root to be defined is any Expression under it should be Greater than or Equal to Zero.
When Function is a Fraction, it Cannot be defined when the denominator becomes zero. Because when the denominator is zero, the fraction tends to ∞ (because anything divided by zero tends to ∞)
According to Above Conditions Described above, The Given Function is Definable only when the Expression which is under the Square Root is Greater than Zero and x ≠ 0
⇒ 3x - 9 > 0
⇒ 3x > 9
⇒ x > 3
⇒ The Domain of the Given Function is (3 , ∞)
1st Option is the Answer