Question

The circumference of a circle exceeds it radius by 37 cm.Find the diameter of the circle.

Answer 1

$2\pi r = r + 37 \\ r(2\pi - 1) = 37 \\ r( \frac{2 \times 22}{7} - 1) = 37 \\ r( \frac{44 - 7}{7} ) = 37 \\ \frac{37r}{7} = 37 \\ r = 7$
diameter= 2r = 14


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Answer 2

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ACCORDING TO QUESTION

2Πr = 37+r
2×22/7×r = 37+r
44r = (37+r)×7
44r = 259 +7r
44r-7r = 259
37r = 259
r = 259/37
r = 7

HENCE , diameter = 2 × radius

d = 2× 7 => 14 units