Darian Hubbard

2022-07-26

For each of the following angles, find the radian measure of the angle with the given degree measure:

$\star \text{}{240}^{\circ}\phantom{\rule{0ex}{0ex}}\star \text{}{400}^{\circ}\phantom{\rule{0ex}{0ex}}\star \text{}-{280}^{\circ}\phantom{\rule{0ex}{0ex}}\star \text{}-{90}^{\circ}\phantom{\rule{0ex}{0ex}}\star \text{}-{120}^{\circ}$

$\star \text{}{240}^{\circ}\phantom{\rule{0ex}{0ex}}\star \text{}{400}^{\circ}\phantom{\rule{0ex}{0ex}}\star \text{}-{280}^{\circ}\phantom{\rule{0ex}{0ex}}\star \text{}-{90}^{\circ}\phantom{\rule{0ex}{0ex}}\star \text{}-{120}^{\circ}$

Aryan Novak

Beginner2022-07-27Added 6 answers

To convert from degrees to radians, you multiply by $\frac{\pi}{180}$.

Thus, $2400=240\cdot \frac{\pi}{180}=\frac{4}{3}\pi $

As a mixed numeral, it would be $1\frac{1}{3}\pi $

$4000=400\cdot \frac{\pi}{180}=\frac{20}{9}\pi $

As a mixed numeral, it would be $2\frac{2}{9}\pi $

$-2800=-280\cdot \frac{\pi}{180}=\frac{-14}{9}\pi $

As a mixed numeral, it would be $-1\frac{5}{9}\pi $

$-900=-90\cdot \frac{\pi}{180}=-\frac{1}{2}\pi $

$-1200=-120\cdot \frac{\pi}{180}=-\frac{2}{3}\pi $

Thus, $2400=240\cdot \frac{\pi}{180}=\frac{4}{3}\pi $

As a mixed numeral, it would be $1\frac{1}{3}\pi $

$4000=400\cdot \frac{\pi}{180}=\frac{20}{9}\pi $

As a mixed numeral, it would be $2\frac{2}{9}\pi $

$-2800=-280\cdot \frac{\pi}{180}=\frac{-14}{9}\pi $

As a mixed numeral, it would be $-1\frac{5}{9}\pi $

$-900=-90\cdot \frac{\pi}{180}=-\frac{1}{2}\pi $

$-1200=-120\cdot \frac{\pi}{180}=-\frac{2}{3}\pi $

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