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

Posted by Nikhil Sharma 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 10 months ago

Let r be the radius of circle.
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

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