If the radius of a circle is increased by 30%, then the area is increased by:
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Answered by
11
Answer:
69%
Step-by-step explanation:
The new radius is 1.3r, so the new area is pi times 1.69r^2, so the percentage of increase in the area is 69%. The circumference of the circle is increased by 30%, and its area is increased by (1.3²-1²)×100 = 69%.
Answered by
20
Given - Radius increase - 30%
Find - Area increased
Solution - Let us say the radius of circle be r.
New radius of circle = r + 30% of r
New radius of circle = r + 0.3r
New radius of circle = 1.3r
Original area of circle = r
New area of circle = π(1.3*r)²
New area of circle = 1.69πr²
Increased area = New area - Original area/Original area*100
Increased area = 1.69πr² - πr²/πr²*100
Increased area = 0.69πr²/πr²*100
Increased area = 0.69*100
Increased area = 69%
Hence, area is increased by 69%.
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