Question

find the diameter of a circle whos circumference is 66 m​

Answer 1

$\huge{\texttt{Answer :-}}$

$\huge{✞ \: \boxed{\red{\mathfrak{21 m}}}}$

$\large{\texttt{Step-By-Step Explanation :- }}$

$\large{\boxed{\pink{\mathsf{Circumference \: of \: a \: circle = 2 \pi r}}}}$

$\green{\textsf{Circumference of the Given circle = 66 m}}$

$\purple{\textsf{Therefore,}}$

$\therefore \blue{\mathsf{ 2 \pi r = 66m}}$

$\pink{\mathsf{\because \: Taking \: \pi = \frac{22}{7} }}$

$\implies \blue{\mathsf{2 \times \frac{22}{7} \times r = 66}}$

$\implies \blue{\mathsf{\frac{22}{7} \times r = \frac{66}{2}}}$

$\implies \blue{\mathsf{\frac{22}{7} \times r = \cancel{\frac{66}{2}} }}$

$\implies \blue{\mathsf{ \frac{22}{7} \times r = 33 }}$

$\implies \blue{\mathsf{r = 33 \times \frac{7}{22} }}$

$\implies \blue{\mathsf{ r = \cancel{33} \times \frac{7}{\cancel{22}} }}$

$\implies \blue{\mathsf{ r = 3 \times \frac{7}{2} }}$

$\implies \blue{\mathsf{ r = \frac{21}{2} }}$

$\implies \blue{\mathsf{ r = \cancel{\frac{21}{2}} }}$

$\large{✞ \: \boxed{\bold{\green{\mathfrak{ r = 10.5 m }}}}}$

$\purple{\mathsf{Hence,}}$

$\boxed{\large{\pink{\mathsf{d = 2r}}}}$

$\purple{\mathsf{Therefore,}}$

$\therefore \blue{\mathsf{d = 2 \times 10.5}}$

$\large{✞ \: \boxed{\bold{\green{\mathfrak{ d = 21 m }}}}}$