# Question #61180

Apr 13, 2017

#### Answer:

$15.985 \pi$

#### Explanation:

$\frac{22}{7} = \pi$

therefore,
$50.24 = \frac{50.24}{\pi} \cdot \pi = \frac{50.24}{\frac{22}{7}} \cdot \pi$

$= 50.24 \cdot \frac{7}{22} \cdot \pi = 15.985 \pi$

Apr 13, 2017

#### Answer:

$16 \pi$

#### Explanation:

1 rotation around a unit circle (radius = 1) is $2 \pi \approx 6.28$ if we use the value of $\pi = 3.14$

The units of $2 \pi \approx 6.28$ is called radians

The number $50.24$ is a radian value

Let $x = \pi$-value. We can write an equation to find $x$:

$x \pi = 50.24$

Divide both sides by $\pi$ to find $x$:

$\frac{x \pi}{\pi} = \frac{50.24}{\pi}$

$x = \frac{50.24}{3.14} = 16$

This means: $16 \pi = 50.24$