Question

A museum roomcircular in shape, has 5 equally spaced sensors on its walls. There are no dead or overlapping spots along the perimeter of the roomEach sensor has the same angle of detection What is the detection angle of each sensor ? Enter your answer in the box plsss help asap

Answer 1

Answer: 108 degrees.

Explanation:

I think this is how you solve it:

A circle has a total of 360 degrees.

Having 5 equally placed sensors with a certain detection angle means that the sensors form a regular pentagon.

Finding the measure of the interior angles of a regular pentagon can be found using the formula

(180(n-2))/n, with n being the number of vertices of the polygon.

180(5-2)/5 ; 180(3)/5 ; 540/5 = 108

I think this means the detection angle is 108 degrees. Hope this helps!

If you get it wrong I'm terribly sorry T-T