Answer: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%.
Explanation: