The length of an intercepted arc of a central angle of a circle is 4 cm. If the radius of the circle is 5 cm, what is the measurement of the central angle to the nearest whole degree? A) 35° B) 41° C) 46° D) 50°

Answer:CStep-by-step explanation:The formula we use here is:Length of arc = [tex]\frac{\theta}{360}*2\pi r[/tex]Where[tex]\theta[/tex]  is the central angler is the radiusPutting the given information into the formula we can solve for the central angle:[tex]LengthOfArc=\frac{\theta}{360}*2\pi r\\4=\frac{\theta}{360}*2\pi(5)\\4=\frac{\theta}{360}*10\pi\\\frac{4}{10\pi}=\frac{\theta}{360}\\\theta=\frac{4*360}{10\pi}\\\theta=45.84[/tex]rounded to nearest degree, we have 46 degreeC is the right answer.