Question

A circumference of a circle exceeds its diameter by 30cm. Find the radius of the circle.

Answer 1

$<b><u>Heya mate!! Here's your solution</u>$
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$\huge{Given}$

A circumference of a circle exceeds it's diameter by 30 cm.

$\huge{To\: Find}$

The radius of the circle.

$\huge{Solution}$

Let the diameter be 'x'.

Then,

circumference = Diameter + 30

= x + 30
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Now,

Circumference of any circle (c) = πd

=> d + 30 = 22/7 × d

=> 30 = (22d/7) - d

=> 30 = (22d-7d)/7

=> 30 = 15d/7

=> 15d = 7×30

=> 15d = 210

=> d = 210/15

=> d = 14

Hence, the diameter is 14 cm.
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Now, we know that radius is half the diameter.

Then,

radius

= diameter/2

= 14/2

= 7 cm

Therefore, the radius is 7 cm
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$\mathcal{\blue{Finally,}}$

Your answer is -

$\boxed{\bold{\mathcal{\red{7\: cm}}}}$
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$\huge{\bold{\mathfrak{\pink{Thank\: you}}}}$