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Gelneren [198K]
3 years ago
13

20 POINTS * A circle has a radius of 6. An arc in this circle has a central angle of 48°

Mathematics
1 answer:
storchak [24]3 years ago
8 0

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}

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