Question

Change the following angle into radian measure
a) 600° 30'
b)70°20'40"​

Answer 1

Answer:

3.33$\pi$ and 0.39$\pi$

Step-by-step explanation:

600°30' = 600° + (30'/60')° = 600° + 0.50° = 600.50°

Now, 360°  ----> 2$\pi$

600.50°  -----> $\frac{600 * 2\pi }{360}$ ≈ 3.34$\pi$ radian

70°20'40" = 70°20' + (40"/60")' = 70°20.67' = 70° + (20.67'/60')° ≈ 70.35°

∴ 70°20'40" ≈ 70.35°

Now, 360°  ----> 2$\pi$

70.35°  -----> $\frac{70.35*2\pi }{360}$ ≈ 0.39$\pi$ radian

Answer 2

Step-by-step explanation:

a)

= 600°+30/60'

=600°+1/2

=1200+1/2

=1201/2

radian measure =pi/180×radian measure

=pi/180×1201/2

=1201/360 rad

b) =70°+20/60'+40/3600"

=70°+0.33'+0.01"

=70.34×pi/180

=1.22 rad