Question

the inner circumference of a circular race track 7m wide is 440m find the radius of the outer circle give step by step explanation​

Answer 1

Let inner radius be r metres.

r = (440 x (7/44)) = 70 m.

Radius of outer circle = (70 + 14) m = 84 m

Answer 2

$\huge \bf \underline \red{Answer}$

• radius of the inner circle is 70m
• radius of the outer circle is 77m

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$\sf \huge \underline{➷ Question}$

The inner circumference of a circular race track 7m wide is 440m find the radius of the outer circle

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$\sf \huge \underline{➷ To \: find}$

• the radius of the outer circle

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$\sf \underline \red{➷ step \: by \: step \: explanation}$

$\rm \implies{radius \: of \: inner \: circle \: is \: r}$

$\rm \implies{radius \: of \: outer \: circle \: is \: R}$

$\sf \underline \pink{from \: the \: question}$

• Given 440m

so,

$\bold \red{2\pi \: r = 440}$

$\tt \implies \blue{r = \dfrac{440}{2\pi}}$

$\tt \implies \orange{ = \dfrac{440}{2 \times \frac{22}{7}} }$

$\tt \implies \green{ = \dfrac{440 \times 7}{44}}$

$\tt \implies \pink{ = 70m}$

$\bf{ \boxed{ \underline{ \red{ \tt{ \: radius \: of \: inner \: circle \: is \: 70m \: }}}}}$

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$\bf \underline{Now}$

• Given inner circle is r

$\sf \blue{➷ \: R - r = 7}$

$\sf \red{➷ \: R - 70 = 7}$

$\sf \purple{➷ \: R = 70 + 7 = 77m}$

$\bf{ \boxed{ \underline{ \red{ \tt{ \: radius \: of \: outer \: \: circle \: is \: 77m \: }}}}}$

i hope it's help uh..