Question

the ratio of circumference and diameter of circle is 22:7. if the circumference be 11/7m,then the radius of the circle is?​

Answer 1

$\huge\bold{\underline{\underline{Question:}}}$

◾️The ratio of circumference and diameter of circle is 22:7. if the circumference be 11/7m,then the radius of the circle is?

$\huge\bold{\underline{\underline{Answer:}}}$

$\huge\bold{\boxed{\red{{\frac{1}{4}}}}}$

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$\large\bold{\underline{Explanation:}}$

Given:

◾️$\bold{The\:Ratio\:of\:circumference\:and\:diameter.}$

◾️$\bold{The\:Circumference\:is{\frac{11}{7}}}$

To Find:

◾️$\bold{Radius\:of\:the\:circle.}$

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Solution:

$\bold{According\:to\:the\:Question,}$

$\bold{{\frac{circumference\:of\:the\:circle}{Diameter\:of\:the\:circle.}}\:=\:{\frac{22}{7}}}$

$\bold{{\frac{circumference\:of\:the\:circle}{Twice\:of\:radius.}}\:=\:{\frac{22}{7}}}$

$\implies$ $\bold{{\frac{11÷7}{2r}}\:=\:{\frac{22}{7}}}$

$\implies$ $\bold{{\frac{11}{14r}}\:=\:{\frac{22}{7}}}$

$\implies$ $\bold{14r\:×\:22\:=\:7\:×\:11}$

$\implies$ $\bold{r\:=\:{\frac{7\:×11}{22×14}}}$

$\implies$ $\bold{r\:=\:{\frac{1}{4}}}$

Hence, The radius of The circle is 1/4.

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Answer 2

Answer:

the radius of the circle is 1/4