If radius of circle is increased by 10 percent then area will increase how many percent
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Answer:
It's area will increase by 21%
Step-by-step explanation:
Let the radius of circle be r.
We know,
Area of circle = πr²
If radius if increased by 10%,
New radius = r + 10% of r
= 11r/10
New area = π(11r/10)²
= π×121r/100
= 121/100πr²
Increase in area = New area - Original area
= 121/100πr² - πr²
= πr²(121/100 - 1)
= 21/100πr²
Increase %
= Increase/Original area × 100
= 21/100πr² ÷ πr² × 100
= 21/100 × 100
= 21%
Hope it helps!
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