Question

Question part points submissions used this exercise involves the formula for the area of a circular sector. find the area of a sector with central angle 3π/5 rad in a circle of radius 9 m. (round your answer to one decimal places.)

Answer 1

The formula for the area of a sector in radians is  $A= \frac{1}{2}r^2 \theta$,  where theta is the angle in radians.  For us, the formula looks like this:   $A= \frac{1}{2}(9)^2* \frac{3 \pi }{5}$.  Doing all the multiplication on that gives us  $A= \frac{243 \pi }{10}$.  Multiplying in pi and rounding to the nearest tenth gives us an area of 76.3 meters squared.  You can use the formula for the area of a sector with the angle in degrees as well.  Just replace the 360 degrees with 2pi and it works the exact same way.