Question

3 round your answer to the nearest tenth (one decimal place). find the length of arc xy.

Explanation:

Step1: Recall arc length formula

The formula for arc length is $L = \frac{\theta}{360^\circ} \times 2\pi r$, where $\theta$ is the central angle, and $r$ is the radius.

Step2: Plug in given values

Here, $\theta = 70^\circ$, $r = 10$ cm. Substitute into the formula:
$L = \frac{70^\circ}{360^\circ} \times 2\pi \times 10$

Step3: Simplify the expression

First calculate $\frac{70}{360} \times 20\pi = \frac{1400}{360}\pi = \frac{35}{9}\pi \approx 12.2$

Answer:

12.2 cm