How to Write Each Measure in Degrees

How to Write Each Measure in Degrees

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The angle of an arc in a circle that is produced by wrapping the circle's radius around its circumference is known as a radian. We use radians and degrees to indicate the angle between two lines. A circle has a total angle of 360 degrees or radians. Angles expressed in radians can be translated into degrees using radians to degrees.

Radians to Degrees Formula

Degree = Radian \times \ \frac{180}{π}

Example

Convert \frac{3π}{2} radians to degrees.

Solution:

\frac{3π}{2} \ \times \ \frac{180}{π} \ = \ \frac{180 \times 3π}{2π} \ = \ 270°

Free printable Worksheets

Exercises for Writing Each Measure in Degrees

1) Find the answer: \frac{22π}{9} \ =

2) Find the answer: \frac{15π}{8} \ =

3) Find the answer: \frac{25π}{6} \ =

4) Find the answer: \frac{31π}{5} \ =

5) Find the answer: -\frac{5π}{9} \ =

6) Find the answer: -\frac{16π}{3} \ =

7) Find the answer: \frac{13π}{5} \ =

8) Find the answer: \frac{13π}{5} \ =

9) Find the answer: \frac{25π}{12} \ =

10) Find the answer: \frac{14π}{9} \ =

 

1) Find the answer: \frac{22π}{9} \ =

\color{red}{\frac{22π}{9} \ = \ \frac{22π}{9} \times \frac{180}{π} \ = \ 440°}

2) Find the answer: \frac{15π}{8} \ =

\color{red}{\frac{15π}{8} \ = \ \frac{15π}{8} \times \frac{180}{π} \ = \ 337.5°}

3) Find the answer: \frac{25π}{6} \ =

\color{red}{\frac{25π}{6} \ = \ \frac{25π}{6} \times \frac{180}{π} \ = \ 750°}

4) Find the answer: \frac{31π}{5} \ =

\color{red}{\frac{31π}{5} \ = \ \frac{31π}{5} \times \frac{180}{π} \ = \ 1116°}

5) Find the answer: -\frac{5π}{9} \ =

\color{red}{-\frac{5π}{9} \ = \ -\frac{5π}{9} \times \frac{180}{π} \ = \ -100°}

6) Find the answer: -\frac{16π}{3} \ =

\color{red}{-\frac{16π}{3} \ = \ -\frac{16π}{3} \times \frac{180}{π} \ = \ -960°}

7) Find the answer: \frac{13π}{5} \ =

\color{red}{\frac{13π}{5} \ = \ \frac{13π}{5} \times \frac{180}{π} \ = \ 468°}

8) Find the answer: \frac{13π}{5} \ =

\color{red}{\frac{13π}{5} \ = \ \frac{13π}{5} \times \frac{180}{π} \ = \ 468°}

9) Find the answer: \frac{25π}{12} \ =

\color{red}{\frac{25π}{12} \ = \ \frac{25π}{12} \times \frac{180}{π} \ = \ 375°}

10) Find the answer: \frac{14π}{9} \ =

\color{red}{\frac{14π}{9} \ = \ \frac{14π}{9} \times \frac{180}{π} \ = \ 280°}

Writing Each Measure in Degrees Practice Quiz