Question:
the circumference of a circle exceeds the diameter by 75 CM. find the radius and diameter of the circle
Answer:
Let the radius of the circle is r
Now diameter of the circle = 2r
The circumference of the circle = 2πr
Now according to question,
2πr = 2r + 75
=> 2πr - 2r = 75
=> 2r(π - 1) = 75
=> 2r(22/7 - 1) = 75
=> 2r(22 - 7)/7 = 75
=> 2r(22 - 7) = 75*7
=> 2r*15 = 75*7
=> 2r = (75*7)/15
=> 2r = 5*7
=> 2r = 35
=> r = 35/2
So, radius of the circle = 35/2 = 17.5 cm
and diameter of the circle = 2r = 2* 35/2 = 35 cm
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