How long is the arc intersected by a central angle of radians in a circle with a radius of 2 m R Round your answer to
the nearest tenth. Use 3.14 for r .
2.6 f
7.0 f
10.5 ft
31.4 ft

Question

How long is the arc intersected by a central angle of

radians in a circle with a radius of 2 m R Round your answer to
the nearest tenth. Use 3.14 for r .
2.6 f
7.0 f
10.5 ft
31.4 ft

UpStudy AI · Accepted Answer

The formula for the length of an arc is given by

$$
s = r\theta.
$$

Substituting the given values $$ r = 2 $$ and $$ \theta = \frac{5\pi}{3} $$,

$$
s = 2 \times \frac{5\pi}{3} = \frac{10\pi}{3}.
$$

Using $$ \pi \approx 3.14 $$,

$$
s \approx \frac{10 \times 3.14}{3} = \frac{31.4}{3} \approx 10.47.
$$

Rounded to the nearest tenth, the arc length is

$$
\approx 10.5 \text{ ft}.
$$
The arc length is approximately 10.5 feet.

Solución de inteligencia artificial de Upstudy