Question

If the difference between the circumference and radius of a circle is 37 cm, then using $(\pi=\frac{22}{7})$, the circumference (in cm) of the circle is
(a)154
(b)44
(c)14
(d)7

Answer 1

Answer:

The circumference of the circle is  44 cm.  

Among the given options option (b) 44 is the correct answer.

Step-by-step explanation:

Given :  

Circumference of the circle -  Radius of the circle  = 37 cm

Let C be the circumference of the circle and r be the radius of a circle

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

37r/7 = 37

37r = 37 × 7

r = (37× 7)/37

r = 7 cm

Radius of the circle ,r = 7 cm

Circumference of the circle,C =  2 × πr

C = 2 × 22/7 ×7

C = 44 cm

Circumference of the circle = 44 cm

Hence,the circumference of the circle is  44 cm.  

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

ANS : 44 cm ✔️✔️

EXPLANATION :

let radius of the circle be "r" cm

then according to question,

2πr - r = 37

=> r ( 2π - 1) =37

$= > r (2 \times \frac{22}{7} - 1) = 37$

$= > r( \frac{44}{7} - 1) = 37$

$= > r = 37 \times \frac{7}{37} = 7cm$

$circumference \: \: of \: \: the \: \: circle \: = 2\pi \: r$

$= > 2 \times \frac{22}{7} \times 7 = 44cm$

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