Question

Find the length of an arc of a circle whose circumference is 832.38 cm and the centralangle is 333°. Round your answer to the nearest tenth.

Answer 1

Given:

Circumference of the circle = 832.38 cm

Central angle = 333°

Let's find the length of the arc of the circle.

To find the length of the arc, apply the formula below:

`\text{Length of arc = }(\theta)/(360)\ast2\pi r`

Where:

θ = 333°

2πr = circumference = 832.38 cm

Thus, we have:

`\text{Length of arc = }(333)/(360)\ast832.38`

Solving further:

`\begin{gathered} \text{Length of arc = }0.925\ast832.38 \\ \\ \text{Length of arc = }769.95\text{ cm}\approx770.0\text{ cm} \end{gathered}`

Therefore, the length of the arc of the circle to the nearest tenth is 770.0 cm

ANSWER:

770.0 cm