If the radius of a circle is increased by a factor of 5, the area increases by a factor of

If the radius of circle is increased by 5 percent then the area is increased by what percentage?

Area of circle, A = πr²

When radius is 1 unit; A = π unit²

When the radius of circle is increased by 5%

Increased radius = 105/100 = 1.05 unit

Increased area = π(105/100)² = π(1.05)² = 1.1025π unit²

Increase in area = (1.1025 - 1)π = 0.1π unit²

Percentage Increase = (0.1025/1) × 100 = 10.25%

If the radius of circle is increased by 5 percent then the area of circle is increased by 10.25%.

Step-by-step explanation:

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