Respuesta :

Answer:

So our answer in pi form is 30.25π

Step-by-step explanation:

The circumference of a circle is given by the formulas :

[tex]2\pi r[/tex] or [tex]\pi d[/tex]  where r is radius and d is the diameter

Since

11π = 2πr

We can solve for r to use it in the area of a circle formula:

[tex]\frac{11\pi }{2\pi } = r[/tex]

r = 5.5

The area of a circle is given by the formula:

[tex]\pi r^{2}[/tex] where r is the radius/.

Since we found r we can find the area:

π(5.5)² = 30.25π

So our answer in pi form is 30.25π

semsee45

Answer:

As you have not specified the format in which to give the answer, I am giving three ways of writing it:

[tex]\sf 30.25 \pi \ units^2[/tex]

[tex]\sf \dfrac{121}{4} \pi \ units^2[/tex]

95.03 units² (nearest hundredth)

Step-by-step explanation:

Formulae

  • Circumference of a circle = 2πr
  • Area of a circle = πr²

(where r is the radius)

Given:

  • circumference = 11π

Therefore, use the given value and the circumference equation to find the radius:

⇒ circumference = 11π

⇒ 2πr = 11π

⇒ 2r = 11

⇒ r = 5.5

Now we have found the radius, simply substitute this into the equation for area of circle:

⇒ area of a circle = πr²

                             = π5.5²

                             = 30.25π units²

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