if the circumference of a circle is 50 meters, what is the radius?
a. \frac{100}{\pi} meters
b. 25 meters
c. \frac{50}{2\pi} meters
d. 10 meters
how do you convert an angle from degrees to radians?
a. multiply by \pi and divide by 180
b. divide by 360 and multiply by \pi
c. divide by \pi and multiply by 180
d. multiply by 360 and divide by \pi

Question

Accepted Answer

# Explanation:
## Step1: Recall the formula for circumference
The formula for the circumference of a circle is $C = 2\pi r$, where $C$ is the circumference and $r$ is the radius.
## Step2: Solve for the radius
Given $C = 50$ meters, we substitute into the formula: $50=2\pi r$. Then $r=\frac{50}{2\pi}=\frac{25}{\pi}$ meters.

# Answer:
b. $25$ meters

# Explanation:
To convert an angle from degrees to radians, we use the conversion factor. Since $180^{\circ}=\pi$ radians, if we have an angle $x$ in degrees, to convert it to radians we use the formula $x_{radians}=x_{degrees}\times\frac{\pi}{180}$. So we divide by $180$ and multiply by $\pi$.

# Answer:
b. Divide by $360$ and multiply by $\pi$ (This part seems to have an error in the options as the correct conversion is divide by $180$ and multiply by $\pi$, but based on the given options, if we assume a mis - labeling and consider the general operation of using the $180 - \pi$ relationship, the closest in terms of operation (multiply by $\pi$ and divide by a degree - related number) is b. If we consider the correct mathematical operation: $x_{rad}=\frac{x_{deg}\times\pi}{180}$, which is equivalent to multiplying by $\pi$ and dividing by $180$. But among the given options, if we assume a mis - print in the options (maybe $360$ is a typo for $180$), the operation of multiplying by $\pi$ and dividing by a degree measure is captured in b. If we strictly follow the options:
The formula for degree - to - radian conversion is $rad=\frac{deg\times\pi}{180}$, which is “multiply by $\pi$ and divide by $180$”. But among the given options:
a. Multiply by $\pi$ and divide by $180$ (this is correct but not in the second part's options as per the user's two - part question. Wait, no, looking at the second question's options:
For the second question “How do you convert an angle from degrees to radians?”:
The formula is $x_{rad}=\frac{x_{deg}\times\pi}{180}$, which is “multiply by $\pi$ and divide by $180$”. But the options are:
a. Multiply by $\pi$ and divide by $180$
b. Divide by $360$ and multiply by $\pi$
c. Divide by $\pi$ and multiply by $180$
d. Multiply by $360$ and divide by $\pi$
The correct answer is a. Multiply by $\pi$ and divide by $180$

So for the second part:
# Explanation:
The conversion formula from degrees to radians is $radians=\frac{degrees\times\pi}{180}$, which means we first multiply the degree measure by $\pi$ and then divide by $180$.

# Answer:
a. Multiply by $\pi$ and divide by $180$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the formula for circumference

Step2: Solve for the radius

Answer: