Question

The area of a circular wave expands across a still pond such that its radius increases by 8cm each second. Write a formula for the area A of the circle as a function of time t since the wave begins:

A=

Answer 1

A(t) = π(8t)²

Explanation:

Radius of a circular wave increases by 8 cm each second.

Every second radius of circular wave so the sequence of increase in radius will be,

8, 16, 24, 32.........(8t)

Here 't' = time

Since, area of a circle = πr²

Therefore, area of the circular wave after 't' seconds since the wave begins,

A(t) = π(8t)²