There is a circle whose radius r is changing with time t. We are interested in the area A of a sector of this circle whose central angle θ is also changing with time t. Here are the formulae by which r and θ are changing: r(t)=5t² +2, θ(t)= π/6 −π/ 4t
Recall that the area of a sector in a circle is given by the formula 1/ 2 r²θ where the central angle θ is measured in radians.
What is the initial area of this sector? That is, what is A when t=0?
