Question

What is the measures in degrees and radians of the angle representing 7-8th of a circle

Answer 1

`\bf \textit{a circle has a total of }2\pi \textit{ radians and }360\textit{ degrees} \\\\\\ \textit{how much is }(7)/(8)\textit{ of each?}\\\\ -------------------------------\\\\ 2\pi \cdot \cfrac{7}{8}\implies \cfrac{14\pi }{8}\implies \cfrac{7\pi }{4}\ radians \\\\\\ 360\cdot \cfrac{7}{8}\implies \cfrac{360\cdot 7}{8}\implies \cfrac{2520}{8}\implies 315^o`

Answer 2

That would be 315 degrees, and the radian is 7π/4