Question

A circle has a radius of 4 ft. What is the area of the sector formed by a central angle measuring 3π2 radians? Use 3.14 for pi. Enter your answer as a decimal in the box.

Answer 1

Answer:

The answer is 37.68 I just took the test.

Answer 2

Answer:

Area of the sector =  $( (\frac{3\pi}{2})/2 )*(4)^2 = 12\pi = 37.699$

Step-by-step explanation:

Remember that the formula for the area of a circular sector is given by

Area of a circular sector =       $\frac{\theta}{2} r^2$

Where     $\theta$      is the angle measures in radians, and    $r$    is the radius of the circle.

For our problem  

                       $\theta = \frac{3\pi}{2}$

                       $r = 4$

Therefore        Area of the sector =  $( (\frac{3\pi}{2})/2 )*(4)^2 = 12\pi = 37.699$