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

The answer is 37.68 I just took the test.

Answer 2

Area of the sector =
`( ((3\pi)/(2))/2 )*(4)^2 = 12\pi = 37.699`

Explanation:

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

Area of a circular sector =
`(\theta)/(2) r^2`

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

For our problem

`\theta = (3\pi)/(2)`

`r = 4`

Therefore Area of the sector =
`( ((3\pi)/(2))/2 )*(4)^2 = 12\pi = 37.699`