Convert from Radians to Degrees arctan(5/4)

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

Step 1

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

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

Step 2

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

$0.89605538 \cdot \frac{180}{π}$

Step 3

Multiply $0.89605538 \frac{180}{π}$ .

Combine $0.89605538$ and $\frac{180}{π}$ .

$\frac{0.89605538 \cdot 180}{π}$

Multiply $0.89605538$ by $180$ .

$\frac{161.28996922}{π}$

Step 4

Replace $π$ with an approximation.

$\frac{161.28996922}{3.14159265}$

Step 5

Divide $161.28996922$ by $3.14159265$ .

$51.34019174$

Step 6

Convert to a decimal.

$51.34019174 °$