Question

The area of a circle is increased by 22 sq cm when it's radius is increased by 1 cm .Find the original radius of the circle.

Answer 1

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SOLUTION:

LET THE AREA BE X

AND RADIUS R

SO

πR^2=X

IF THE AREA IS INCREASED BY 22 THEN RADIUS IS INCREASED BY 1

THEN

X+22=π (R+1)^2

X+22=π(R^2+1+2R)

X+22=πR^2+π+2πR

AS X=πR^2

πR^2+22=πR^2+π+2πR

π{1+2R}=22

PUTTING π= 22/7

WE GET

1+2R=22×(7/22)

1+2R=7

2R=6

R=3

SO

ORIGINAL RADIUS OF THE CIRCLE= 3 UNIT

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