You instructor is considering the installation of a circular dart board with radius $3.9$ on the office wall. instead of actually reading your papers, it has been suggested that grades be assigned by chance by dividing the board into three grade sectors and tossing a dart.

The area of an "A" sector with central angle $2.266$ is .

The area of a "B" sector with central angle $2.57519$ is .

The area of a "C" sector with central angle $82.6205 ^o$ is .

Assume a dart is randomly thrown at the board and the grade is noted on your paper. List your grade in order of increasing likelihood:
Largest A B C Middle A B C Smallest A B C .

If the chance of your receiving a given grade is based upon the size of the sector divided by the size of the whole circle, determine the likelihood that you will receive an "A".

Hint: