The radian measure of a central angle of 90º is pi/2( = 1.5707963267948966). What must the radian measure of a central angle of 180º be? How can you tell without computing the radian measure?
\(180°=\pi\) radians
I know that becase \(1°=\frac{\pi}{180°}\) and if you multiply \(\frac{pi}{180°}\) by \(180°\) you get \(\frac{180°\pi}{180°}\) and if you reduce you get \(\pi.\)
\(180°=\pi\) radians
I know that becase \(1°=\frac{\pi}{180°}\) and if you multiply \(\frac{pi}{180°}\) by \(180°\) you get \(\frac{180°\pi}{180°}\) and if you reduce you get \(\pi.\)