Question

A rain drop hitting a lake makes a circular ripple.. if the radius, in inches,, grows as a function of time in minutes according to R(t)=20sqrt(t+2), find the area of the ripple as a function of time. What is the area of the circular ripple at t=2?

Answer 1

Explanation:

Area A(t) = πR² = π x 400 (t + 2) = 400π (t + 2)

A(2) = 400π (2 + 2) = 1600π = 5026.5 in²