Question

Find the arc length of arc AB if the radius of circle L is 6 inches.

Answer 1

Answer:

The third answer choice

Step-by-step explanation:

The circumference of the circle can be found using the equation $2\pi r$, which in this case is $2\cdot \pi \cdot 6=12\pi$ inches. 100 degrees is 5/18 of the total circumference of the circle, which when multiplied by the length of the circumference gives $\frac{10\pi}{3}$, or the third answer choice. Hope this helps!

Answer 2

Arc length= 10 π/3

Arc length from degrees is:
angle / 360 * circumference of the circle

100/360 * (2* π* 6)
100/360 * (12 π/1)
You can cross multiply, and simplify, and it’ll give you 10.47 which is the same as 10 π/ 3.