Question

A circular drop of oil has a radius of 10 cm. If this radius

increases by 5% then by 10% and finally by 15%, find
the new area of the circle. (Area of circle A = πr
πρ 2)
²)

Answer 1

For the first increase: 110.25π cm². For the second increase: 121π cm². For the third increase: 132.25π cm². To find the new area of the circle after increasing the radius by different percentages, calculate the new radii and use the formula for the area of a circle.

Step-by-step explanation:

To find the new area of the circle after it increases by 5%, 10%, and 15%, we need to calculate the new radii and then use the formula for the area of a circle.

Given that the original radius is 10 cm, the new radius after increasing by 5% is 10 + (10 * 0.05) = 10 + 0.5 = 10.5 cm.

Similarly, the new radius after increasing by 10% is 10 + (10 * 0.10) = 10 + 1 = 11 cm.

And the new radius after increasing by 15% is 10 + (10 * 0.15) = 10 + 1.5 = 11.5 cm.

Now, we can calculate the new areas using the formula A = πr²:

For the first increase: A = π(10.5 cm)² = 110.25π cm².

For the second increase: A = π(11 cm)² = 121π cm².

For the third increase: A = π(11.5 cm)² = 132.25π cm².