Question

What is the measure of an angle when your circle's radius is two and you went around the circumference 10.5 units. Your circumference is 12.57

Answer 1

Answer:

$300 \frac{300}{419}$°

Step-by-step explanation:

We just need to know how what fraction of 12.57 10.5 is.

So to make this easier to reduce, we can multiply the numerator and denominator by 100, so now we have the fraction $\frac{1050}{1257}$.

We can prime factorize 1050 and 1257 to make it easier to reduce.

1050 = 3 * 7 * 5 * 5 * 2

1257 = 3 * 419

So 1050 and 1257 share a factor of 3, so we divide the numerator and denominator by 3.

$\frac{350}{419}$

So the angle measure is $\frac{350}{419}$ of 360 degrees.

And we multiply 360 and $\frac{350}{419}$, and we get $\frac{126000}{419}$.

So the answer is $\frac{126000}{419}$°, or if you want it neater, $300$ $\frac{300}{419}$ °.