Question

20 multiple choice 1 point find the radian measure of an angle of 80°. 4/9π 9/4π 9π/4 4π/9

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 value of degrees

Given degrees \( = 80^{\circ}\), then radians \(=80\times\frac{\pi}{180}\)

Step3: Simplify the expression

\(80\times\frac{\pi}{180}=\frac{80\pi}{180}=\frac{4\pi}{9}\)

Answer:

\(\frac{4\pi}{9}\) (the fourth option)