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  • 22-10-2020
  • Mathematics
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The circular opening of a vase has an inside diameter of 13.5 cm.

-13.5 c

What is the approximate area of this circular opening? (Use a = 3.14.)

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MrRoyal
MrRoyal MrRoyal
  • 22-10-2020

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

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