Answer:
Radius = 11.94 ft
Diameter = 23.88 ft
Circumference = 75 ft
Step-by-step explanation:
Given:
Perimeter of the circular fence that surrounds the pool = 75 ft
To find the diameter, radius and circumference of the fence.
Solution:
Since perimeter of a circle is the length of the circumference of the circle, therefore the circumference of the circle will be = 75 ft
Formula for perimeter of circle = [tex]2\pi r[/tex]
where [tex]r[/tex] represents the radius of the circle.
We have:
[tex]2\pi r =75[/tex]
Using [tex]\pi=3.14[/tex]
[tex]2(3.14)r =75[/tex]
[tex]6.28r =75[/tex]
Dividing both sides by 6.28 to find [tex]r[/tex]
[tex]\frac{6.28r}{6.28} =\frac{75}{6.28}[/tex]
∴ [tex]r =11.94\ ft[/tex]
The diameter of a circle is given as twice the radius.
Thus diameter [tex]d=2r=2(11.94)=23.88\ ft[/tex]
