Question

20 POINTS * A circle has a radius of 6. An arc in this circle has a central angle of 48°
What is the length of the arc?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.

Answer 1

Answer:

$\frac{8\pi}{5}$

Step-by-step explanation:

Since this is a degree we going to use the arc length formula

$2\pi \times( r)( \frac{x}{360)}$

where x is the central angle measure and r is the radius.

The radius is 6 and the central angle is 48 so let plug that in the formula

$2\pi \times (6)( \frac{48}{360} )$

Multiply 2 pi by 6

$12\pi \times ( \frac{48}{360} )$

$12\pi \times \frac{4}{30}$

$\frac{12\pi}{1} \times \frac{4}{30} = \frac{48\pi}{30}$

$\frac{8\pi}{5}$