Question

If the circumference of a circle is 198 cm , find its radius.

(a) 21.5 cm
(b) 31.5 cm
(c) 27.5 cm
(d) 37.5 cm

Ans : _______

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Answer 1

$\huge\boxed{\fcolorbox{blue}{aqua}{Explanation}}$

r≈31.51cm

$\mathbb{\pink{\huge{ANSWER}}}$

(b) 31.5 cm

Answer 2

$\mathfrak{\bf{\underline{\underline{GIVEN \ :-}}}}$

círcumfєrєncє σf círclє = 198 cm

$\mathfrak{\bf{\underline{\underline{</strong><strong>F</strong><strong>O</strong><strong>R</strong><strong>M</strong><strong>U</strong><strong>L</strong><strong>A</strong><strong> \ :-}}}}$

$ㅤㅤㅤㅤ \boxed{círcumference \: of \: círcle \: = 2\pi{ r}}$

$\mathfrak{\bf{\underline{\underline{</strong><strong>S</strong><strong>O</strong><strong>L</strong><strong>U</strong><strong>T</strong><strong>I</strong><strong>O</strong><strong>N</strong><strong>\ :-}}}}$

$\implies \: ㅤㅤㅤㅤ198 = 2\pi{r}$

$\impliesㅤㅤㅤㅤ ^{99} \cancel{198} = \cancel{2} \times \frac{22}{7} \times r$

$\implies \: ㅤㅤㅤㅤ\frac{99 \times 7}{22}$

$\implies \: ㅤㅤㅤㅤㅤㅤ\frac{63}{2}$

$\impliesㅤㅤㅤㅤㅤ \boxed{\boxed {\approx31.5}}$