# If the difference between the circumference and the radius of a circle is 37 cm, then find the circumference (in cm) of the circle

2
by sijinsdaniel

use pie =22/7

yes

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by sijinsdaniel

use pie =22/7

yes

Log in to add a comment

Difference between circumference and radius of circle = 37 cm

Circumference of circle = 2r

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

Now,

Difference between circumference and radius of circle = 2r - 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

c = 37- r

c = 2Π r

37+ r = 2*22/7*r

37+ r = 44r/7

37 = 44r/7- r = 37r/7

r = 37*7/37

r = 7 cm

c = 2*22/7*7 = 44 cm