Respuesta :

The radius of circular trampoline is 6.5 feet

Solution:

Given that circular trampoline has area of 132.2 square feet

To find : Radius of trampoline

Since it is given that circular trampoline, so we can hence use the area of a circle formula

We can use the formula for area of circle and calculate radius

The area of circle is given as:

[tex]Area = \pi r^2[/tex]

Where "r" is the radius of circle and [tex]\pi = 3.14[/tex]

Substituting the values we get:

[tex]132.2 = 3.14 \times r^2\\\\r^2 = \frac{132.2}{3.14}\\\\r^2 = 42.102[/tex]

Taking square root on both sides we get,

[tex]r = \sqrt{42.102}\\\\r = 6.49[/tex]

On rounding to nearest tenth we get 6.5

Thus the radius of circular trampoline is 6.5 feet