Respuesta :

Answer

[tex]\frac{121}{4} \pi mm^2[/tex]

Explanation

Find the radius

11/2 = 5.5

The formula to find the area of a circle is [tex]\pi r^2[/tex]

[tex]\pi 5.5^2[/tex] = [tex]30.25\pi[/tex]

Convert number into fraction.

[tex]30.25 \rightarrow \frac{121}{4} \pi[/tex]

Area = [tex]\frac{121}{4} \pi mm^2[/tex]

Answer:

30.25π mm²

Step-by-step explanation:

The area (A) of a circle is calculated using the formula

A = πr² ← r is the radius

here diameter = 11 and radius is half of the diameter. thus

r = 5.5

A = π × 5.5² = 30.25π mm²