Question

Water drips into a circular puddle such that the radius of the puddle, in cms, at time t, in seconds, is given by the equation r(t)=√t
a) write an equation for the area of the puddle as a function of t ?

b) What is the AROC of the area of the puddle with respect to time between t=0 and T=16?

c) What is the AROC of the area of the puddle with respect to the radius between t=0 and t=16?

Answer 1

well we already have solved for r and we know to find the area of a circle is 2pir so we just plug in the radius equation given to the equation for the area

Answer 2

so we have\[A=2\pi \sqrt{t}\]

Answer 3

Thank you