Convert from Radians to Degrees arccos(4/5)

$\arccos (\frac{4}{5})$

To convert radians to degrees, multiply by $\frac{180}{π}$ , since a full circle is $360 °$ or $2 π$ radians.

$(\arccos (\frac{4}{5})) \cdot \frac{180 °}{π}$

Evaluate $\arccos (\frac{4}{5})$ .

$0.6435011 \cdot \frac{180}{π}$

Multiply $0.6435011 \frac{180}{π}$ .

Combine $0.6435011$ and $\frac{180}{π}$ .

$\frac{0.6435011 \cdot 180}{π}$

Multiply $0.6435011$ by $180$ .

$\frac{115.83019958}{π}$

Replace $π$ with an approximation.

$\frac{115.83019958}{3.14159265}$

Divide $115.83019958$ by $3.14159265$ .

$36.86989764$

Convert to a decimal.

$36.86989764 °$