The radius of trampoline is 6.5 feet
Step-by-step explanation:
Area of circular trampoline = 132.2 ft²
Let,
r be the radius of trampoline.
We know that area of circle = [tex]\pi r^2[/tex]
Therefore,
[tex]\pi r^2 = 132.2\\[/tex]
Putting value of [tex]\pi = 3.14[/tex]
[tex]3.14r^2=132.2[/tex]
Dividing both sides by 3.14
[tex]\frac{3.14r^2}{3.14}=\frac{132.2}{3.14}\\r^2=42.10[/tex]
Taking square root on both sides
[tex]\sqrt{r^2}= \sqrt{42.10} \\r=6.48 \ ft[/tex]
Rounding to nearest tenth,
Radius of trampoline = 6.5 feet
The radius of trampoline is 6.5 feet
Keywords: Area, circle, radius
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