Answer:
6
Step-by-step explanation:
A = π. r²
36π = π. r²
eliminate π, we get:
36=r²
r=√36
r = 6
Given:
A right angle triangle ABC, right angled at C.
To find:
The measure of θ.
Solution:
In a right angle triangle,

In triangle ABC,



It can be written as


Therefore, the measure of θ is 28.369.
We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.
The value of x is
<span>
5 feet. </span>