A circle with radius 6 has a sector with a central angle of 11/6 pi radians. What is the area of the sector?

33 pi square units

Step-by-step explanation:

First find the area of the entire circle.  It is A = πr² = π(6)^2 = 36 pi square units.

Then form the fractional multiplier

  11/6 π

  = 11/12

     2 π

... and multiply the previous result (area of the whole circle) by this 11/12:

Area of the sector is then A = (11/12)(36 pi square units), or 33 pi square units

7.3

step-by-step explanation: