Question

find the radius of a circle whose circumference is 75/2 cm.​

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{Circumference of the circle is}$

$\mathsf{\dfrac{75}{2}\;cm}$

$\underline{\textsf{To find:}}$

$\textsf{Radius of the circle}$

$\underline{\textsf{Solution:}}$

$\mathsf{Formula\;used:}$

$\boxed{\mathsf{Cirmcumference\;of\;a\;circle\;of\;radius\;r\;is\;2\,\pi\,r\;units}}$

$\textsf{Let r be the radius of the given circle}$

$\textsf{Circumference of the circle}\mathsf{=\dfrac{75}{2}\;cm}$

$\implies\mathsf{2\,\pi\,r=\dfrac{75}{2}}$

$\implies\mathsf{2{\times}\dfrac{22}{7}{\times}r=\dfrac{75}{2}}$

$\implies\mathsf{r=\dfrac{75{\times}7}{2{\times}44}}$

$\implies\mathsf{r=\dfrac{525}{88}}$

$\implies\boxed{\mathsf{r=5.97\;cm}}$

$\underline{\textsf{Answer:}}$

$\mathsf{Radius\;of\;the\;circle\;is\;5.97\;cm}$

$\underline{\textsf{Find more:}}$

The circumference of a circle is 62.8m . Find the radius of the circle . (Take r =3.14)

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Find the circumference of circle whose diameter is-

(i) 17.5 cm (ii) 5.6 cm (iii) 4.9 cm​

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Answer 2

GIVEN :

The circumference of a circle is $\frac{75}{2}$ cm.​

TO FIND :

The radius of a circle.

SOLUTION :

Given that the circumference of a circle is $\frac{75}{2}$ cm.​

Formula for Circumference of  circle is given by :

$C=2\pi r$ units

Substitute the value of circumference and $\pi=\frac{22}{7}$

$\frac{75}{2}=2(\frac{22}{7})r$

Rewritting the above equation we get,

$2(\frac{22}{7})r=\frac{75}{2}$

$(\frac{44}{7})r=\frac{75}{2}$

$r=\frac{75}{2}\times \frac{7}{44}$

⇒ r = 5.96 cm.

The radius of a circle with circumference $\frac{75}{2}$ cm is 5.96 cm.