To convert radians to degrees, multiply by <math><mstyle displaystyle="true"><mfrac><mrow><mn>180</mn></mrow><mrow><mi>π</mi></mrow></mfrac></mstyle></math> , since a full circle is <math><mstyle displaystyle="true"><mn>360</mn><mi>°</mi></mstyle></math> or <math><mstyle displaystyle="true"><mn>2</mn><mi>π</mi></mstyle></math> radians.

Multiply <math><mstyle displaystyle="true"><mrow><mo>(</mo><mo>-</mo><mn>2.25</mn><mo>)</mo></mrow><mfrac><mrow><mn>180</mn></mrow><mrow><mi>π</mi></mrow></mfrac></mstyle></math> .

Combine <math><mstyle displaystyle="true"><mo>-</mo><mn>2.25</mn></mstyle></math> and <math><mstyle displaystyle="true"><mfrac><mrow><mn>180</mn></mrow><mrow><mi>π</mi></mrow></mfrac></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>2.25</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>180</mn></mstyle></math> .

Move the negative in front of the fraction.

Replace <math><mstyle displaystyle="true"><mi>π</mi></mstyle></math> with an approximation.

Divide <math><mstyle displaystyle="true"><mn>405</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>3.14159265</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>128.9155039</mn></mstyle></math> .

Convert to a decimal.

For angles smaller than <math><mstyle displaystyle="true"><mn>0</mn><mi>°</mi></mstyle></math> , add <math><mstyle displaystyle="true"><mn>360</mn><mi>°</mi></mstyle></math> to the angle until the angle is larger than <math><mstyle displaystyle="true"><mn>0</mn><mi>°</mi></mstyle></math> .

The angle is in the third quadrant.

Quadrant <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math>

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