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Vitek1552 [10]
3 years ago
5

If the diameter of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?

Mathematics
1 answer:
yaroslaw [1]3 years ago
6 0
Since the diameter of the circle is 6 inches, then the radius will be half that, or 3 inches,

\bf \textit{arc's length}\\\\
s=\cfrac{r\pi \theta }{180} \quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=3\\
\theta =70
\end{cases}\implies s=\cfrac{3\cdot \pi \cdot 70}{180}\implies s=\cfrac{7\pi }{6}
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2 Point:     (6,2)         (-6,6)
                   x₁ y₁         x₂ y₂
       

Remember: 
  
    rise          change in y          y₂ - y₁          6 - 2            4
 ---------- =  ------------------- = ------------- = ----------- = ----------
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3 years ago
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