Question

Find the degree measure corresponding to 11/14 radians (use pin=22/7)

Answer 1

Solution.

Theta = 180/pie × angle ( radian)
Theta = 180×7×11 / 22 × 14
Theta = 45°

Answer 2

Answer:

Degree measure 0f $\frac{11}{14}$ is $45^0$.

Step-by-step explanation:

Given Radian measure = $\frac{11}{14}$.

We know that,

Radian measure $=\frac{\pi}{180}\times degree measure$ .

$\frac{11}{14}=\frac{180}{\pi}\times$ Degree measure,

$\frac{11}{14}\times\frac{180}{\pi}$ = Degree measure,

Degree measure =  $\frac{11}{14}\times\frac{180}{\pi}$

Substituting the value  $\pi=\frac{22}{7},$ we get

Degree measure = $\frac{11}{14}\times\frac{180 \times 7}{22}$

                            = $\frac{11 \times 180 \times 7}{14 \times 22}$

                            = $\frac{1 \times 90 \times 1}{2 \times 1}$

                            =  $45$

Therefore, the Degree measure of $\frac{11}{14}$  is $45^0$.