Find the area of a circle with diameter 10 cm . Use the value 3.14 for π , and do not round your answer. Be sure to include the correct unit in your answer.

Respuesta :

Formula for the area of a circle:

A = πr²                   [A = area        r = radius]

The radius is [tex]\frac{1}{2}[/tex] (half) the diameter. Since the diameter = 10cm, the radius = 5cm.

You know:

r = 5cm         Substitute/plug this into the equation

A = πr²

A = π(5)²    

A = 25π  ->     A = 25(3.14)

A = 78.5cm²

The area of the circle when the diameter is 10 cm should be [tex]78.5\ cm^2[/tex].

Calculation of the area of the circle:

Since the diameter is 10 cm

We know that

The diameter should be

[tex]= \pi r^2\\\\= 3.14\times 5^2\\\\= 25\times 3.14\\[/tex]

= [tex]78.5\ cm^2[/tex]

Hence, The area of the circle when the diameter is 10 cm should be [tex]78.5\ cm^2[/tex].

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