if a radius of a cricle is reduced by 10% what is the area
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Step-by-step explanation:
Let, the radius be r. Then area of circle = PI * r * r
Radius is diminished by 10% so New radius, R = r - ( 10 * r / 100 )
= > R = 0.9 * r
New area = PI * R * R
Putting value R = 0.9 * r
New area = 0.81 * PI * r *r
Diffrence = Old area - New area
=> Diffrence = PI * r * r - 0.81 * PI * r * r
=> Diffrence = 0.19 * PI * r * r
Diminished area = 19%
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