"How to convert -270 degree to radian measure?" was answered by our experts

High School
Geometry
Trigonometry
Trigonometric equations and identities

gibbokf5

Answered question

2023-01-19

How to convert -270 degree to radian measure?

Answer & Explanation

Dorian Beasley

Beginner2023-01-20Added 13 answers

- 270^{o} = - \frac{270}{360} \cdot 2 π = - \frac{3}{4} \cdot 2 π = - \frac{3}{2} π

Miranda Johns

Beginner2023-01-21Added 1 answers

Conversion factor \(\displaystyle\frac{\pi}{{180}^{\circ}}\):
\(\displaystyle{\color{white}=}-{270}^{\circ}\)
\(\displaystyle=-{270}^{\circ}{\color{blue}{\cdot\frac{\pi}{{180}^{\circ}}}}\)
\(\displaystyle=-{270}^{{\color{red}\cancel{{\color{black}\circ}}}}{\color{blue}{\cdot\frac{\pi}{{180}^{{\color{red}\cancel{{\color{black}\circ}}}}}}}\)
\(\displaystyle=-{270}\cdot\frac{\pi}{{180}}\)
\(\displaystyle={\color{red}\cancel{{\color{black}{-{270}}}}}^{{-{{3}}}}\cdot\frac{\pi}{{\color{red}\cancel{{\color{black}{180}}}}^{{2}}}\)
\(\displaystyle=-{3}\cdot\frac{\pi}{{2}}\)
\(\displaystyle=-\frac{{{3}\pi}}{{2}}\)
So, angle in radians.

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