Answer :
Answer:
d. q^2/(4π)
Step-by-step explanation:
The circumference in terms of r is ...
q = 2πr
So, the radius in terms of q is ...
r = q/(2π)
The area in terms of radius is ...
p = πr^2
so, in terms of q, it is ...
p = π(q/(2π))^2 = (π/π^2)(q^2/4)
p = q^2/(4π)
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Comment on answer
It is unfortunate that your answer choice doesn't have parentheses on the denominator. They are required by the Order of Operations. As written, none of the choices is correct, as the last one must be interpreted as ...
(q^2/4)π
which is quite different from the correct answer of q^2/(4π).