A dog that has been tethered with a 20-foot lead makes the path shown here. If the measure of the angle is 2.25 radians, then th

Question

3 years ago

11

e length of the path is _____ feet.

2 answers:

Alex777 [14] · Answer 1 · 2022-08-15T19:26:37+03:00

6 0

The answer is 45.
Thank you for your time.

Sindrei [870] · Answer 2 · 2022-08-15T20:57:54+03:00

Answer:

45 feet

Step-by-step explanation:

It is given that A dog that has been tethered with a 20-foot lead makes the path, that is the measure of radius will be 20 foot.

And, the measure of the angle is 2.25 radians, then the arc length is given as:

$\frac{Arc length}{radius}=central angle$

⇒ $arc length=20{\times}2.25$

⇒ $Arclength=\frac{225}{5}$

⇒ $Arc length=45 feet$

Therefore, the length of the path is 45 feet.