Question

The circumference of a circle exceeds the diameter by 25.8 cm, then the radius of the circle is .
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Answer 1

Answer:

6.02cm

Step-by-step explanation:

Let the radius of the circle be r cm.

Diameter =2r cm and Circumference = 2πr cm

Therefore,

2πr=2r+25.8

2× 22/7 ×r=2r+25.8

44r=14r+25.8×7

30r= 180.6

r=6.02cm

Hence, radius =6.02

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Answer 2

Given - Circumference of a circle exceeds the diameter by 25.8 cm

Find - Radius of the circle

Solution - Let us say that radius of circle in mentioned question is r.

Now, converting the question statement in mathmatical expression, we get -

2πr = 2r + 25.8

In the above expression, 2πr is the formula for circumference and 2r is the formula for diameter.

Solving the equation to find value of r -

44/7r = 2r + 25.8

4.28r = 25.8

r = 6.02 centimetres.

Hence, radius of circle is 6.02 centimetres