Math, asked by asktht, 10 months ago

If radius of circle is increased by 10 percent then area will increase how many percent

Answers

Answered by manas3379
3

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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