Question
If the radius of a circle is increased by 75% , then its circumference will increase by :
Answer: Option C
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Let original radius be R cm.
hen original circumference = `(2 pi R)` cm
New radius = (175% of R) cm = `(175/100 xx R) cm = (7R)/(4) cm`
New circumference = `(2pi xx (7R)/(4))cm = (7 pi R)/(2) cm`
Increase in circumference =` ((7piR)/(2) - 2pi R) cm = (3pi R)/(2) cm`
Increase % = `((3 pi R)/(2) xx (1)/(2 pi R) xx 100)`% = 75%`
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