1.

The circumference of a circle is 37.68 centimetres. What is the circle's radius? Use 3.14 for ​pi

Answer»

GIVEN :

Circumference of circle = 37.68 cm

TO FIND :

RADIUS of circle = ?

DIAGRAM :

\setlength{\unitlength}{20}\begin{picture}(6, 6) \<klux>PUT</klux>(1,1 ){\circle{14}} \put(1,1 ){\circle*{0.15}}\put(1, 1){\line(1,0 ){1}}\put(1.25,1.25 ){ $ \sf r $ }\put(2.5,1.5 ){ $ \sf circumference  \: of \:  the  \: circle $ }\put(2.5, 1){ $ \sf  = 37.68 \: cm $ }\put(3,0 ){ \boxed{ $ \bf @AK14380  $ }}\end{picture}

SOLUTION :

• We know that –

\\  \dashrightarrow \large{\boxed { \bold{Circumference\:\:of\:\:circle= 2\pi r}}} \\

• Put the values –

\\  \implies { \bold{37.68= 2\pi r}} \\

\\  \implies { \bold{37.68= 2(3.14)r}} \\

\\  \implies { \bold{37.68= 6.28r}} \\

\\  \implies { \bold{r =  \cancel \dfrac{37.68}{ 6.28}}} \\

\\  \implies { \bold{r =6}} \\

HENCE

\\  \implies \large { \boxed{ \bold{Radius =6 \: cm}}} \\



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