A circle of radius 10 cm has its radius dercreased by 4 cm.then the percentage of decrease in the area is
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Original radius=10cm
Decreased radius=10-4=6cm
Original area of the circle (radius 10cm)= π×10×10 = 100π cm^2.
area of the circle (radius 6cm)= π×6×6 =36π cm^2
Therefore, decrease in the area= 100π-36π=64π
therefore, percentage decrease= decrease in area/original area × 100= 64π/100π×100= 64%
Decreased radius=10-4=6cm
Original area of the circle (radius 10cm)= π×10×10 = 100π cm^2.
area of the circle (radius 6cm)= π×6×6 =36π cm^2
Therefore, decrease in the area= 100π-36π=64π
therefore, percentage decrease= decrease in area/original area × 100= 64π/100π×100= 64%
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