Question

question 6 of 10 the length of $widehat{ab}$ (the minor arc) is 40 cm. what is the circumference of $odot c$?

Explanation:

Step1: Recall arc - length formula

The length of an arc $l$ of a circle with radius $r$ and central angle $\theta$ (in degrees) is given by $l=\frac{\theta}{360}\times C$, where $C$ is the circumference of the circle.

Step2: Identify given values

We are given that $\theta = 60^{\circ}$ and $l = 40$ cm.

Step3: Substitute values into formula

$40=\frac{60}{360}\times C$.

Step4: Solve for $C$

First, simplify $\frac{60}{360}=\frac{1}{6}$. Then the equation becomes $40=\frac{1}{6}\times C$. Multiply both sides by 6 to get $C = 240$ cm.

Answer:

C. 240 cm