Question

A circle with the are 16pi has a sector with the central angel of 8/5 radians

Answer 1

Answer:

3/2 units^2

Step-by-step explanation:

The area of the entire circle is 16π.  What is the area of a sector of this circle if the central angle (not angel) is 8/5 radians?

Formula:   (fraction of circle represented by the sector)(area of the circle

Area of the sector described above is

  8/5 radians                                         8*16π square units

----------------------- * 16π square units = ------------------------------ = 3/2 units^2

    2π radians                                                      10π