Convert from Radians to Degrees arctan(4/3)

$\arctan (\frac{4}{3})$

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

$(\arctan (\frac{4}{3})) \cdot \frac{180 °}{π}$

Evaluate $\arctan (\frac{4}{3})$ .

$0.92729521 \cdot \frac{180}{π}$

Multiply $0.92729521 \frac{180}{π}$ .

Combine $0.92729521$ and $\frac{180}{π}$ .

$\frac{0.92729521 \cdot 180}{π}$

Multiply $0.92729521$ by $180$ .

$\frac{166.91313924}{π}$

Replace $π$ with an approximation.

$\frac{166.91313924}{3.14159265}$

Divide $166.91313924$ by $3.14159265$ .

$53.13010235$

Convert to a decimal.

$53.13010235 °$