Question

the measure of angle s is $\frac{4pi}{11}$ radians. the measure of angle t is 3 times the measure of angle s. which expression represents the measure , in degrees, of angle t? a. $\frac{4}{11}(90)(3)$ b. $\frac{4}{11}(180)(3)$ c. $\frac{4}{11pi}(90)(3)$ d. $\frac{4pi}{11}(180)(3)$

Explanation:

Step1: Find measure of angle T in radians

$T = 3\times\frac{4\pi}{11}=\frac{12\pi}{11}$ radians

Step2: Convert radians to degrees

Use conversion factor $\frac{180}{\pi}$. So $T=\frac{12\pi}{11}\times\frac{180}{\pi}=\frac{4}{11}(180)(3)$ degrees

Answer:

B. $\frac{4}{11}(180)(3)$