Question

Find the length of AB.6 inAB = [ ? Jin0x30°ВRound your answer to the nearest hundredth.Enter

Answer 1

The given diagram shows a circle with radius (R) 6 inches, and the central angle of arc AB as 30 degrees,

`\begin{gathered} R=6 \\ \theta=30^(\circ) \end{gathered}`

Consider that the length (L) of a circular arc of radius R and central angle Θ, is given by the formula,

`\begin{gathered} L=(\theta)/(360)\cdot2\pi R \\ L=(30)/(360)\cdot2\pi(6) \\ L=\pi \\ L=3.14 \end{gathered}`