Question

the area of a circle is increased by 22cm when its radius is increased by 1cm .find the original radius of the circle​

Answer 1

Answer:

3cm

Let original radius be r.

Then, according to the question,

π(r+1)2−πr2=22

=> π×[(r+1)2−r2]=22

=> 227×(r+1+r)(r+1−r)=22

=> 2r+1=7 => 2r=6

r=62=3 cm

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