Answer:
[tex]Area = 143cm^2[/tex]
Step-by-step explanation:
Given
Shape: Opening of a circular vase
[tex]Diameter =13.5cm[/tex]
[tex]\pi = 3.14[/tex]
Required
Determine the area
This opening implies a circle; hence the area will be calculated using area of a circle.
[tex]Area = \pi r^2[/tex]
Solve for radius (r)
[tex]r = \frac{d}{2}[/tex]
[tex]r = \frac{13.5\ cm}{2}[/tex]
[tex]r = 6.75\ cm[/tex]
Substitute 6.75 for r in [tex]Area = \pi r^2[/tex]
[tex]Area = 3.14 * 6.75^2[/tex]
[tex]Area = 143.06625[/tex]
[tex]Area = 143cm^2[/tex] --- Approximated