Question

What is the diameter of a circle whose circumference measures 86 26/35? Use pi= 22/7

Answer 1

`The\ circumference\ of\ a\ circle:C=d\pi\ (d-a\ diameter)\\-----------------------------\\\pi\approx(22)/(7);\ C=86(26)/(35)=(86\cdot35+26)/(35)=(3036)/(35)\\\\subtitute\ to\ the\ formula:\\\\(3036)/(35)=d\cdot(22)/(7)\ \ \ \ \ |divide\ both\ sides\ by\ (22)/(7)\ (multiply\ by\ (7)/(22))\\\\d=(3036)/(35)\cdot(7)/(22)\\\\d=(138)/(5)\cdot(1)/(1)\\\\\boxed{d=27.6}`