Question

convert the angle in degrees to radians. 490° 490° = radians (simplify your answer. type an exact answer, using π as needed. use integers

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, use the formula \( \text{Radians}=\text{Degrees}\times\frac{\pi}{180}\).

Step2: Substitute the given degree value

Substitute \(490^{\circ}\) into the formula: \(490\times\frac{\pi}{180}\).

Step3: Simplify the fraction

Simplify \(\frac{490}{180}\). Divide numerator and denominator by 10: \(\frac{49}{18}\). So, \(490\times\frac{\pi}{180}=\frac{49\pi}{18}\).

Answer:

\(\frac{49\pi}{18}\)