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Major arc CBD measures 300°. Which is the radian measure of its corresponding central angle? r...
4 months ago
Q:
Major arc CBD measures 300°. Which is the radian measure of its corresponding central angle? radians radians radians radians
Accepted Solution
A:
we know there are 180° in π radians, so how many degrees in 300° then?
[tex]\bf \begin{array}{ccll} degr ees&radians\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 180&\pi \\ 300&r \end{array}\implies \cfrac{180}{300}=\cfrac{\pi }{r}\implies r=\cfrac{300\pi }{180}\implies \cfrac{5\pi }{3}[/tex]