Question

Points B and C lie on a circle with center O and radius r = 5 units. If the length of is 10.91 units, what is m in radians? Use the value = 3.1416, and round your answer to three decimal places.

A.1.667
B.2.314
C.2.182
D.2.921

Answer 1

the correct question in the attached figure

we know that
[the length of a circumference]=2*pi*r
for r=5 units
so
[the length of a circumference]=2*pi*5-----> 31.416 units

if 2pi radians (full circle)-------------> has a length of 31.416 units
then
X radians-----------------------------> 10.91 units
X=10.91*2*pi/31.416---------> =2.182 radians

the answer is
2.182 radians