Rewrite 47.10° in radian measure. Round to three decimal places.
a. 0.164
b. 0.099
c. 0.822
d. 0.123 e. 0.148
pi radians = 180 degrees
so 47.1 deg (pi rad/180 deg)
= 0.822 radians
Well, let me just tell you that converting degrees to radians can be as confusing as trying to understand why clowns scare some people! But fear not, I'm here to help!
To convert degrees to radians, we must remember that π radians is equal to 180 degrees. So, let's do the math together.
To convert 47.10° to radians, we need to divide it by 180° and multiply by π.
Using a calculator, let me calculate this for you... *humming the calculator tune*
I got the answer, and it's approximately 0.822!
So, the correct answer is option c) 0.822!
Just remember the golden rule of converting degrees to radians: "Divide by 180, multiply by π, and don't forget to bring your sense of humor!"
To convert degrees to radians, we use the formula:
Radians = (Degrees * π) / 180
Let's apply this formula to the given angle of 47.10°:
Radians = (47.10 * π) / 180
Calculating this expression, we get:
Radians ≈ 0.822 (rounded to three decimal places)
Therefore, the answer is option c. 0.822.
To convert degrees to radians, you can use the formula:
radians = degrees * (π/180)
Now let's apply this formula to the given degree measure of 47.10°:
radians = 47.10 * (π/180)
To get the decimal value, you can substitute the value of π (pi) with its approximate value of 3.14159:
radians ≈ 47.10 * (3.14159/180)
Calculating this expression, we have:
radians ≈ 0.820304
Rounding this value to three decimal places, we get approximately 0.822.
Therefore, the answer is c. 0.822.