Question

If the difference between the circumference and the radius of a circle is 37 cm,
then using = calculate the circumference (in cm) of the circle.
22
7​

Answer 1

Let r be the radius of circle.

Difference between circumference and radius of circle = 37 cm

Circumference of circle = 2\piπ r

                                      = 2 x 22/7 x r = 44/7 x r

Now,

Difference between circumference and radius of circle = 2\piπ r - r

37 = 44/7 x r - r

37 = r(44/7-1)

37 = r(44 - 7)/7

37 = 37 / 7 x r

37 x 7/37 = r

r = 7 cm

Now , Circumference of circle = 44/7 x r

                                                 = 44/7 x 7

                                                 = 44 cm . 

∴ Circumference of circle = 44 cm

Answer 2

Answer:

44cm

Step-by-step explanation:

Let r be the radius of circle.

Difference between circumference and radius of circle = 37 cm

Circumference of circle = 2\piπ r

                                     = 2 x 22/7 x r = 44/7 x r

Now,

Difference between circumference and radius of circle = 2\piπ r - r

37 = 44/7 x r - r

37 = r(44/7-1)

37 = r(44 - 7)/7

37 = 37 / 7 x r

37 x 7/37 = r

r = 7 cm

Now , Circumference of circle = 44/7 x r

                                                = 44/7 x 7

                                                = 44 cm .

∴ Circumference of circle = 44 cm