Question

Transforme em π rad :a)30°b)40°c)45°d) 50°

Answer 1

Answers:

a) $\frac{1}{6} \pi rad$

b) $\frac{2}{9} \pi rad$

c) $\frac{1}{4} \pi rad$

d) $\frac{5}{18} \pi rad$

Step-by-step explanation:

In this case we are dealing with angles, which can be expressed in degrees ($\°$) or radians ($rad$).

Now, before making the conversions we have to know the equivalence between degrees and radians:

$180 \°=1 \pi rad$

Taking this information into account, let's begin with the answers:

a) $30\° \frac{1 \pi rad}{180 \°}=\frac{1}{6} \pi rad$

b) $40\° \frac{1 \pi rad}{180 \°}=\frac{2}{9} \pi rad$

c) $40\° \frac{1 \pi rad}{180 \°}=\frac{1}{4} \pi rad$

d) $50\° \frac{1 \pi rad}{180 \°}=\frac{5}{18} \pi rad$