how many radians is 135°? give the exact answer in simplest form. radians

Explanation:

Step1: Recall conversion formula

We know that $180^{\circ}=\pi$ radians. So the conversion formula from degrees to radians is $x^{\circ}=x\times\frac{\pi}{180}$ radians.

Step2: Substitute the value

For $x = 135$, we have $135\times\frac{\pi}{180}$.

Step3: Simplify the fraction

$\frac{135\pi}{180}=\frac{3\pi}{4}$ (divide both numerator and denominator by 45).

Answer:

$\frac{3\pi}{4}$