Find the approximate number of radians, to the nearest hundreth, in the angles with the following dergree measures.
a) 60 degrees
b) 128.5 degrees
c) 150 degrees
d) 80 degrees
e) 145 degrees
f) 325 degrees
g) 56.4 degrees
h) 230 degrees
Please help answer and explain 1 regular one and one decimal one!! IM CLUELESS TEACHER!!:(
Memorize this one:
180° = π radians
then 1° = (π/180) radians
then (whatever)° = (π/180)(whatever) radians
so 60° = (π/180)(60) = π/3 radians
56.4° = π/180 (56.4) = 47π/150 radians or appr .984 radians
answer question answeres
a
d
b
c
c
To convert degrees to radians, we need to use the conversion factor that 1 radian is equal to 180 degrees divided by pi (π). So the formula is:
Radians = Degrees * (π / 180)
Let's solve two examples, one with a whole number and one with a decimal number, so you can see how to apply the formula.
Example 1: 60 degrees
Radians = 60 * (π / 180) ≈ 1.047
To get the approximate value, we need to use π as it is, without approximating it. So the radian measure, rounded to the nearest hundredth, is approximately 1.05.
Example 2: 56.4 degrees
Radians = 56.4 * (π / 180) ≈ 0.985
Again, we keep π as it is, and the radian measure, rounded to the nearest hundredth, is approximately 0.99.
Now, you can use the same formula to calculate the radian measures for the rest of the angles provided.