Category: Geometry

Question Number 51884 by ajfour last updated on 31/Dec/18 Commented by ajfour last updated on 31/Dec/18 $${Relate}\:{radius}\:\boldsymbol{{r}}\:{of}\:{the}\:{two}\:{circles} \\ $$$$\left({the}\:{same}\right)\:{with}\:{side}\:{length}\:\boldsymbol{{a}}\:{of} \\ $$$${the}\:{equilateral}\:{triangle}. \\ $$ Commented by…

Question Number 182910 by mnjuly1970 last updated on 16/Dec/22 Answered by mr W last updated on 16/Dec/22 $${a}={side}\:{length}\:{of}\:{square} \\ $$$${R}={radius}\:{of}\:{circle} \\ $$$${R}^{\mathrm{2}} =\left({R}−{a}\right)^{\mathrm{2}} +\left({R}−\frac{{a}}{\mathrm{2}}\right)^{\mathrm{2}} \\…

Question Number 51700 by mr W last updated on 29/Dec/18 Commented by mr W last updated on 29/Dec/18 $${A}\:{rope}\:{with}\:{uniform}\:{mass}\:{is}\:{fixed} \\ $$$${at}\:{one}\:{end}\:{on}\:{point}\:{A}.\:{At}\:{point}\:{B}\:{the} \\ $$$${rope}\:{is}\:{laid}\:{over}\:{a}\:{pulley}.\:{All}\:{contact} \\ $$$${is}\:{frictionless}\:{and}\:{the}\:{size}\:{of}\:{pulley}…

Question Number 51658 by ajfour last updated on 29/Dec/18 Commented by ajfour last updated on 29/Dec/18 $${Find}\:{in}\:{terms}\:{of}\:{a}\:{and}\:{b}\:{the}\:{side} \\ $$$${length}\:\boldsymbol{{s}}\:{of}\:{the}\:{equal}\:{sided}\:{pentagon}. \\ $$ Commented by ajfour last…

Question Number 51636 by mr W last updated on 29/Dec/18 Commented by tanmay.chaudhury50@gmail.com last updated on 29/Dec/18 Commented by tanmay.chaudhury50@gmail.com last updated on 29/Dec/18 $${radius}\:{quadrant}={R}\:\:\:{radius}\:{semicircle}={r}…