# Arc length

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## Arc length

Our radius is equal to two, so the area, if we're talking about the whole circle, it would be equal to pi times two squared. A radian is the angle subtended by an arc of length equal to the radius of the circle. So let's say we were to start right over here. What is the length of that arc? This right over here, this other arc length, when our central angle was 10 degrees, this had an arc length of 0. An angle in a circle ranges from 0 to degrees Source degrees in a full circle Source Parts of a Circle A sector is a portion of a circular disk enclosed by two rays and an arc. So you have 10 degrees over degrees. The side opposite this angle is known as the hypotenuse and it is the longest side. So if we were to measure all the way around the circle, we would get 18 pi. Remember, if we were to go all the way around, that's degrees, while this angle right over here is degrees, the angle that is subtended by this arc. We often "borrow" letters from the Greek alphabet to use in math. Our circumference is still 18 pi. Now let's think about another scenario. So the circumference of a circle is equal to two, is equal to two pi times the radius of the circle, and they give us the radius as three inches.

Thank You! So when you add these two together, this arc length and this arc length, 0. There are people having a conference behind me or something. Two squared is of course two times two, which is equal to four, so our area is going to be equal to four times pi. So, if we think about the entire circle, what is the area going to be? So this angle right over here is 10 degrees. What is that going to be?

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