Arc Length and Area Sectors

1. A circle whose radius is 8.13 cm intercepts an arc of 7.68 cm.  What is the radian measure of the angle? 

 0.944 radians

54.1^o

 1.06 radians

2. The length of the Baltimore Beltway is approximately 51.6 miles long.   A CCBC faculty member has to drive from the Catonsville Campus to the Essex Campus, but doesn't want to pay the toll.  Assuming the Beltway was a perfect circle with a radius of 8.21 miles, and the angle between exits 12B and exit 34 is 3.22 radians, find the distance traveled (in other words the length of the arc) between exit 36, MD - 7 Philadelphia Road and exit 12B, MD 372 - Wilkens Ave. 


  27.0 miles

  27 miles

  26.5 miles

3.  A farmer wants to plant peppers on his circular-shaped farm.  The sector has an angle measurement of and a radius of 120 yards. What is the area of the sector?

  2827.44 square yards

  2800 square yards

  2828 square yards