Convert 40° 20′ into radian measure.
Answers
Answered by
73
40° 20 minutes = 40° + 20 minutes
Attachments:
Answered by
0
Answer:
40° 20' is equal to ( 121/540)π radians
Step-by-step explanation:
We know that, 1 degree = 60 min or 1° = 60′
40° 20′ = 40° + 20′
= 40° + (20°/60°)
= 40° + (1/3)°
= (120° + 1°)/3°
= 121°/3
Also,
Radian measure = (π/180°) × Degree measure
= (π/180°) × (121°/3)
= (121/540)π
Therefore, 40° 20′ is equal to (121/540)π radians
Similar questions