The perimeter of a sector includes two segments that are each equal to the radius, and the arc length. For your sector, the arc length is found as
perimeter = 4r = r + r + arc-length
2r = arc-length
Now we also know that arc-length is related to the central angle (in radians) by
arc-length = r*central-angle
2r = r*central-angle
2 = central-angle
The measure of the central angle of the sector is 2 radians.
<em>Note: I am assuming we have to determine the value of the side 'x'.</em>
Answer:
The value of x = 8.1 units
Step-by-step explanation:
<em>Note: I am assuming we have to determine the value of the side 'x'.</em>
Given
Angle Ф = 32°
To determine:
x = ?
Using the trigonometric ratio
tan Ф = opposite / adjacent
here
Ф = 32°
opposite to angle 32° = x
adjacent to angle 32° = 13
Therefore,
substituting adjacent = 13, Ф = 32°, opposite = x in the equation
tan Ф = opposite / adjacent


x = 8.1 units tan 32° = 0.62
Therefore, the value of x = 8.1 units