Explanation:
that is not clearly defined.
what does "bigger circle" mean ? bigger area or bigger radius or diameter ? or even bigger circumference ?
I assume we mean here that the area is 4 times bigger.
then the area of P is
A of P = 4×412 = 1648
the perimeter (= circumference) of a circle is
C = 2×pi×r
with r being the radius.
the area of a circle is
A = pi×r²
since we have the area of the circle, we have to calculate backwards to find r, so that we can calculate the circumference :
1648 = pi×r²
r² = 1648/pi
r = sqrt(1648/pi) = sqrt(16×103/pi) = 4×sqrt(103/pi) =
= 22.90359562...
the circumference of P
C = 2×pi×r = 143.9075355...