Question

2) A rock is thrown in a pond, and creates circular ripples whose radius increases at a rate of 0.2 meter per second. What will be the value of where is the area (in square meter) of the circle after 5

seconds?
Hint: The area of a circle=², where r is the radius of the circle.
1 point

Answer 1

The area of the circle after 5 seconds will be π square meters.

Step-by-step explanation:

To find the area of the circle after 5 seconds, we need to determine the radius of the circle at that time. Since the radius increases at a rate of 0.2 meter per second, after 5 seconds it will have increased by 5 * 0.2 = 1 meter. The radius of the circle after 5 seconds will then be 1 meter.

Using the formula for the area of a circle, A = π * r², with a radius of 1 meter, the area of the circle after 5 seconds can be calculated as A = π * (1)² = π * 1 = π square meters.

The value of the area of the circle after 5 seconds will be π square meters.

Learn more about Area of a circle