Joan wants to jog miles on a circular track mile in diameter. How many times must she circle the track?
A) 45.84
B) 11.46
C) 22.92
D) 5.73
E) 2.86

Question

Joan wants to jog  miles on a circular track  mile in diameter. How many times must she circle the track?
A) 45.84 
B) 11.46 
C) 22.92 
D) 5.73 
E) 2.86

Quizplus · Accepted Answer

The circumference of a circle is given by the formula C = πd, where d is the diameter. In this case, the diameter is 1 mile, so the circumference is C = π(1) = π miles. To jog 11 miles, Joan must circle the track 11/π = 3.5 times. However, since Joan cannot jog a fraction of a lap, she must round up to the nearest whole number of laps, which is 4. Therefore, Joan must circle the track 4 times, which is equivalent to jogging 4 times the circumference of the track, or 4π miles.

To confirm that choice C is the correct answer, we can also calculate the distances for the other choices: 
A) 45.84π miles is far too long, as it is nearly 144 miles. 
B) 11.46π miles is also too long, as it is nearly 36 miles. 
D) 5.73π miles is too short, as it is less than 18 miles. 
E) 2.86π miles is also too short, as it is less than 9 miles. Therefore, the only correct answer is C.

Joan Wants to Jog Miles on a Circular Track