Question

question 3 of 10
36° is the same as ____ radians.
round to the nearest hundredth of a radian.
answer here

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, we use the formula: radians = degrees × $\frac{\pi}{180}$.

Step2: Substitute the given degree value

We have 36 degrees. So, we substitute 36 into the formula: radians = $36\times\frac{\pi}{180}$.

Step3: Simplify the expression

Simplify $36\times\frac{\pi}{180}$. First, divide 36 by 180, which gives $\frac{36}{180} = \frac{1}{5}$. So, the expression becomes $\frac{\pi}{5}$. Now, calculate the numerical value: $\frac{\pi}{5} \approx \frac{3.14159}{5} \approx 0.628318$. Rounding to the nearest hundredth, we look at the thousandth place, which is 8. Since 8 > 5, we round up the hundredth place. So, 0.628318 rounded to the nearest hundredth is 0.63.

Answer:

0.63