Question Number 203782 by esmaeil last updated on 27/Jan/24
$${Does}\:{a}\:{circle}\:{have}\:{side}? \\ $$$$ \\ $$
Commented by Rasheed.Sindhi last updated on 28/Jan/24
$${No}\:{sides}\:{or}\:\:{infinity}\:{sides},\:{I}\:{think}. \\ $$$${Before}\:{this}\:{question}\:{we}\:{should} \\ $$$${define}\:{what}\:{a}\:{side}\:{is}.\:{If}\:{it}'{s}\:{a}\:{line} \\ $$$${segment}\:{containing}\:{at}\:{least}\:\boldsymbol{{two}} \\ $$$$\boldsymbol{{distinct}}\:\boldsymbol{{points}}\:\:{then}\:{circle}\:{has} \\ $$$${no}\:{sides}.{If}\:{we}\:{can}\:{consider}\: \\ $$$${a}\:{line}\:{segment}\left({side}\right){containing} \\ $$$$\boldsymbol{{two}}\:\boldsymbol{{points}}\:\boldsymbol{{not}}\:\boldsymbol{{necessarily}} \\ $$$$\boldsymbol{{distinct}}\:{then}\:{circle}\:{has}\:{as}\:{many} \\ $$$${sides}\:{as}\:{points}\:{in}\:{a}\:{circle}\:{i}-{e}\: \\ $$$${infiniy}. \\ $$
Commented by esmaeil last updated on 28/Jan/24
$${Thank}\:{you}. \\ $$$${but}\:{i}\:{mean}\:{to}\:{prove}\:{with}\:\:{mathematical} \\ $$$${language}\:{whether}\:{a}\:{circle}\:{has}\:{sides} \\ $$$${or}\:{not} \\ $$
Commented by mr W last updated on 28/Jan/24
Answered by a.lgnaoui last updated on 27/Jan/24
$$\mathrm{yes}\:\mathrm{side}=\pi\mathrm{r}=\frac{\mathrm{perimetre}}{\mathrm{2}} \\ $$$$\mathrm{lreft}\:\mathrm{side}=\mathrm{right}\:\mathrm{side} \\ $$$$ \\ $$
Commented by a.lgnaoui last updated on 27/Jan/24
Commented by Rasheed.Sindhi last updated on 28/Jan/24
$${What}'{s}\:{side}?\:{Should}\:{it}\:{not}\:{be} \\ $$$${straight}\:\left({line}\:{segment}\right)? \\ $$