Question

has a radius of 6 6. An arc in this circle has a central angle of 4 8 ∘ 48 ∘ . What is the length of the arc? Either enter an exact answer in terms of π π or use 3 . 1 4 3.14 for π π and enter your answer as a decimal

Answer 1

Because all circles have a measure of 360°, an angle measure of 48° would have a proportion of $\frac{48}{360}$ or 2/15. For circumference, the formula is 2πr. We already know the circumference, so $2(3.14)*6*\frac{2}{15}$ is 5.02 units long. In terms of pi this would be 1.6pi.