because the perimeter passes through a given point find the radius by finding the distance between that point and the origin of (0,0)
distance = sqrt((x2-x1)^2 +(y2-y1)^2)
distance = sqrt (-4-0)^2 + 3-0)^2)
distance = sqrt(16 +9)
distance = sqrt(25)
distance = 5
the radius of the circle is 5
the area of a circle = PI x r^2
area = PI x 5^2
area = PI x 25
area = 25PI
the answer is C