Problem: The arc of a circle measures 60 degrees and it's radius is 80 cm. What is the length of the arc?
Solution: Find the length of the arc in which it is the product of the ratio of the angle subtended to it at 360 degrees, and the circle's circumference.
[tex] \begin{aligned}& \bold{ \color{lightblue}Formula: } \\ & \boxed{ \ell = \frac{ \theta}{360 \degree} \cdot2\pi r } \end{aligned}[/tex]
- The diameter of the circle is twice its radius, thus we can say that the circumference of the circle is the product of its diameter and pi.
- Let 3.14 be the approximate value of pi.
- Therefore, the length of the arc is:
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