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The diameter of a cycle wheel is 1.4 m. Find the distance covered by the cycle in making 300 revolutions by its wheels (Take )​

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\underline{ \underline{ \sf \red{Question}}}  \red:

The DIAMETER of a CYCLE wheel is 1.4 m. FIND the distance covered by the cycle in making 300 revolutions by its WHEELS (Take \pi = \dfrac{22}{7} )

\underline{ \underline{ \sf \red{Answer}}}  \red:

\rm{Radius \: of \: the \: wheel \:  =  \bigg( \dfrac{1}{2}  \times 1.4 \bigg)m}

\implies \rm r =  \bigg( \dfrac{1}{2}  \times 1.4 \times 100 \bigg)cm

\implies \rm r = 70 \: cm

\rm Circumference \: of \: the \: wheel \:  = 2 \pi  r =  \bigg(2 \times  \dfrac{22}{7}  \times 70 \bigg) \: cm

\implies \rm circumference \:  = 440 \: cm

\rm Distance \: covered \: by \: the \: wheel \: in \: 1 \: revolution \:  = 440 \: cm

\rm Distance \: covered \: by \: the \: wheel \: in \: 300 \: revolutions \:  =  \bigg( \dfrac{400 \times 300}{100}  \bigg)m

\implies \rm 1320 \: m

\therefore \rm Distance \: covered \: by \: the \: cycle \:  = 1320 \: m



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