Step-by-step explanation:
the circumference of a circle is
c = 2×pi×r
with r being the radius.
the diameter of a circle is always twice its radius.
circle A
2 2/3 = 8/3 = 2×pi×r
4/3 = pi×r
r = 4/3 / pi = 4/(3×pi) = 0.424413182... m
the diameter is then : 0.848826363... m
the diameter of B is 1.5 times the diameter of A :
1.273239545... m
therefore, the radius of B is 0.636619772... m
and so, the circumference of B is
2×pi×0.636619772... = 4 m
of course, if we had considered that both diameter and circumference are in linear dependence (see the formula for the circumference), we could get the result much faster. if the diameter increases 1.5 times, then also the circumference increases 1.5 times :
2 2/3 = 8/3 × 1.5 = 8/3 × 3/2 = (8×3)/(3×2) = 8/2 = 4 m
