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Akimi4 [234]
3 years ago
8

The 190° arc measures 25 mm. What is the diameter of the entire circle?

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
5 0
You can start by converting from degrees to radians and using the relation

L=r\theta=\dfrac12d\theta

Or just set up the proportion equation,

\dfrac{\text{arc length}}{\text{circumference}}=\dfrac{25\text{ mm}}{180^\circ d}=\dfrac{190^\circ}{360^\circ}=\dfrac{\text{angle subtended by arc}}{\text{one revolution}}\implies d=\dfrac5{19}
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