Answer:
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
