Question

If the radius of a circle is increased by 10%, then its area increases by 21 % )


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Answer 1

Answer:

Step-by-step explanation:

Answer:

21%

Step-by-step explanation:

Area of a circle = πr²

Find the new radius:

The radius is increased by 10%

New Radius = r + 0.1r = 1.1r

Find the new area:

Area of a circle = π(1.1r)² = 1.21πr²

Find the increase in area:

Increase = 1.21πr² - πr² = 0.21πr²

Find the percentage increase:

Percentage increase = (0.21πr² ÷ πr²) x 100 = 21%

Answer: The area is increased by 21%

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