Question

Find the area of the shaded sector of the circle. Leave your answer in terms of pi.

Answer 1

By definition, the area of the shaded region is given by:$A = (s' / s) * ( \pi ) * (r ^ 2)$
 Where,
 r: radius of the circle
 s'/s: relationship of arcs
 Substituting values we have:$A = (270/360) * ( \pi ) * (4 ^ 2) A = 12 * \pi$
 Answer:
 The area of the shaded region is:$A = 12 * \pi$
 option 1

Answer 2

We know that
area  of circle =pi*r²
for r=4 ft
area=pi*4²------> 16*pi ft²

the shaded sector of the circle represent 3/4 of the total area
so
3/4*16*pi-----> 12*pi ft²

the answer is
 12*pi ft²