Convert from Radians to Degrees arctan(8/7)

$\arctan (\frac{8}{7})$

Step 1

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

$(\arctan (\frac{8}{7})) \cdot \frac{180 °}{π}$

Step 2

Evaluate $\arctan (\frac{8}{7})$ .

$0.85196632 \cdot \frac{180}{π}$

Step 3

Multiply $0.85196632 \frac{180}{π}$ .

Combine $0.85196632$ and $\frac{180}{π}$ .

$\frac{0.85196632 \cdot 180}{π}$

Multiply $0.85196632$ by $180$ .

$\frac{153.35393889}{π}$

Step 4

Replace $π$ with an approximation.

$\frac{153.35393889}{3.14159265}$

Step 5

Divide $153.35393889$ by $3.14159265$ .

$48.81407483$

Step 6

Convert to a decimal.

$48.81407483 °$