An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Ro

Question

3 years ago

12

und your answer to the nearest tenth.

2 answers:

Mandarinka [93] · Answer 1 · 2022-08-15T23:08:15+03:00

Answer: 2.7 radians.

Step-by-step explanation:

The formula we use to find the length of the arc :-

$l=\theta r$ , where $\theta$ is the measure of the central angle (in radians )and r is the radius .

Given : An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in.

i.e. l= 8 in. and r = 3 in.

From the above formula , we have

$8=\theta (3)\\\\\Rightarrrow\ \theta=\dfrac{8}{3}=2.66666666667\approx2.7\text{ radians}$ [Rounded to the nearest tenth.]

Hence, the measure of the angle = 2.7 radians.

sergey [27] · Answer 2 · 2022-08-15T21:01:21+03:00

4 0

Answer:

2.7 radians

have a nice day :)

Step-by-step explanation: