Question

What is the length of the arc that subtends a central angle of 82° for a circle with a radius of 9 centimeters? Use 3.14 for π when necessary.

Answer 1

Because arc length is part of the outside of the circle, we have the circumference along with the central angle in that formula.  The formula for circumference is $C = 2 \pi r$, and with the central angle fitted in there, the formula for the arc length is
$l = \frac{central angle}{360} *2 \pi r$
Ours would look like this, then:
$l= \frac{82}{360} *2(3.14)(9)$
or length = 6.437 cm

Answer 2

Answer:

The correct answer is 12.874.

Step-by-step explanation:

l= $\frac{centerangle}{360}$ $× 2 \pi r$

l= $\frac{82}{360}$× $2(3.14)(9)$

l= $\frac{82}{360}$× $56.52$

l= 12.874 cm.