Find the area of the sector of a circle with diameter 32 feet and an angle of 7Pi/4 radians. Round your answer to four decimal places.

703.7168 ft²

Step-by-step explanation:

Use the sector area formula, a = 1/2r²θ

If the diameter is 32 feet, then the radius is 16 feet.

Plug in the radius and angle measure into the formula, and solve:

a = 1/2r²θ

a = 1/2(16)²(7/4)

a = 703.7168

So, the area of the sector is 703.7168 ft²

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50