Use a calculator to convert 100°10' to radians. Round your answer to the nearest hundredth. (First convert to decimal degrees, then multiply by the appropriate conversion factor to convert to radians.)
A)1.77
B)1.75
C)1.71
D)1.81
E)1.83

Question

Use a calculator to convert 100°10' to radians. Round your answer to the nearest hundredth. (First convert to decimal degrees, then multiply by the appropriate conversion factor to convert to radians.) ​
A)1.77
B)1.75
C)1.71
D)1.81
E)1.83

Quizplus · Accepted Answer

To convert 100°10' to decimal degrees, we first divide the minutes by 60 and add it to the degrees:

100°10' = 100 + 10/60 = 100.17 degrees

To convert from degrees to radians, we multiply by π/180:

100.17 * π/180 ≈ 1.75 radians

Rounding to the nearest hundredth gives 1.75 radians, which is choice B.

Use a Calculator to Convert 100°10' to Radians