D.
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Answer
I attach the image of the circle in the picture below
Circumference larger circle = 62.831 in
Step-by-step explanation:
The perimeter of a circle is defined as
P = 2* pi* r
where
r corresponds to the radius of the circle.
In this case,
r = d/2 = 3 in
The perimeter of the smaller circle results
P1 = 2*(3.1416)*(3 in) = 18.8495 in
The circumference of the smaller circle is 30% of the circumference of the larger circle, so
P1 = 0.3* P2
P2 = 18.8495 in / 0.3 = 20 = 62.831 in
