A number y is diminished by 10
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Answer:
If the radius is diminished by 10% then its area is diminished by how much?
Let the radius of a circle be r.
Area of circle = πr2
If radius is diminished by 10 then,
New radius
=r−r10100
=r−r10
=10r−r10
=9r10
New area = π(9r10)2=π81r2100
Difference of areas
=πr2−π81r2100
=π[(100r2−81r2)100]
=19πr2100
Area is diminished by =19πr2100
Percentage decrease
=[19πr2100÷πr2]×100
=19πr2100πr2×100
=19100×100
=19
Therefore the area is decreased by 19 if the radius of a circle is decreased by 10
Step-by-step explanation:
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a number y is diminished by 10 is the unknown number is 20 since answer y=20
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