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Vitek1552 [10]
4 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]4 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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1.

a) metres to centimetres :

multiply length by 100

b) metres to millimetres:

multiply length by 1000

c) kilograms to grams:

multiply the mass value by 1000

d) litres to millilitres :

multiply volume by 1000

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c) 2.4 km = 2.4 × 1000

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