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amm1812
4 years ago
14

In circle P, diameter QS measures 20 centimeters.

Mathematics
2 answers:
Drupady [299]4 years ago
8 0

Answer:

19.9

Step-by-step explanation:

kari74 [83]4 years ago
6 0

check the picture below.


the line QS is just a flat-line and therefore it has 180° on either side, so the angle QPR is 57°, as you see there, and since we know the diameter is 20, that simply means the radius of the circle is 10.


\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ r=10\\ \theta =57 \end{cases}\implies s=\cfrac{(57)(\pi )(10)}{180}\implies s=\cfrac{19\pi }{6}

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