Math, asked by anandrejive, 10 hours ago

If the radius of a circle is increased by 30%, then the area is increased by:

Answers

Answered by snehachandran006
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 Anonymous
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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