the percentage reduction in the area of a circle when it's radius is decrease by 10%
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Heya!
Let 'r' be the radius of the circle.
As we know,
Area of circle = πr²
= π *× (0.9r)²
If radius is decreased by 10% then,
New area= π × 0.81 r²
Old area = π × r²
Change = π × 0.19 r²
∴Percentage reduction = π × 0.19r²/π × r² × 100 = 19%.
Hope it helps,
@PoojaBBSR
Let 'r' be the radius of the circle.
As we know,
Area of circle = πr²
= π *× (0.9r)²
If radius is decreased by 10% then,
New area= π × 0.81 r²
Old area = π × r²
Change = π × 0.19 r²
∴Percentage reduction = π × 0.19r²/π × r² × 100 = 19%.
Hope it helps,
@PoojaBBSR
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