Question

Arc CD is 2/3 of circumstance of a circle. What is the radian measure of the central angle

Answer 1

recall that a circle has a total of 2π radians, so 2/3 of the circumference taken up by the arc, will yield an angle 2/3 of those 2π, what's 2/3 of 2π?


`\bf \cfrac{2}{3}\cdot 2\pi \implies \cfrac{4\pi }{3}`