Question

if the difference between the circumference and the radius of a circle is 37 cm, then length of the radius is ______.

Answer 1

Solution :

Let C , r are circumference and

radius are a circle .

It is given that ,

C - r = 37

=> 2πr - r = 37

=> r( 2π - 1 ) = 37

=> r [ 2 × ( 22/7 ) - 1 ] = 37

=> r [ 44/7 - 1 ] = 37

=> r [( 44 - 7 )/7 ] = 37

=> r ( 37/7 ) = 37

=> r = 37 × ( 7/37 )

r = 7

Therefore ,

Length of the radius = r = 7 cm

••••

Answer 2

Hi there!

_______________________

Let the Circumference of circle be C and radius of the circle be r.

A / Q,

C - r = 37

⇒ 2 π r - r = 37

⇒ r ( 2 π - 1 ) = 37

$⇒ \mathsf{r(2 \times \frac{22}{7} - 1) = 37} \\ \\ ⇒ \mathsf{r( \frac{44}{7} - 1) = 37} \\ \\ \mathsf{⇒r (\frac{44 - 7}{7} ) = 37} \\ \\ \mathsf{⇒r( \frac{37}{7}) = 37} \\ \\ \mathsf{⇒37r = 37 \times 7} \\ \\ \mathsf{⇒r = \frac{37 \times 7}{37} } \\ \\ ⇒ \mathsf{r = 7 \: cm}$

Hence, the radius of circle is 7 cm.

_______________________

Thanks for the question !

☺️❤️☺️