What is the area of a circle with a diameter of 13.2 cm?

Use 3.14 for pi and round your final answer to the nearest hundredth.

Enter your answer in the box.

Respuesta :

The question asks us to find the area of a circle, which can be represented by the formula [tex]A=\pi{r}^2[/tex]. We are told to use [tex]3.14[/tex] for pi, but we still have the 'r', which represents the radius. To find the radius, we halve the given diameter, giving us [tex]r=6.6[/tex]. When we plug in all of our derived values into the formula, we get that the area of the circle is approximately [tex]\boxed{136.78 \\\\\ cm^2}[/tex]. Hope this helped and have a great day!

The area of circle can be calculated using area formula. The area enclosed in a circle is [tex]\pi r^2[/tex].

The area of circle is [tex]136.78\:\rm cm^2[/tex].

Given:

The diameter is [tex]13.2\:\rm cm[/tex].

Calculate the radius of the circle.

[tex]r=\dfrac{d}{2}[/tex]

Substitute the value.

[tex]r=\dfrac{13.2}{2}\\r=6.6 \:\rm cm[/tex]

Write the formula to calculate the area of a circle.

[tex]A=\pi r^2[/tex]

Substitute the value in above expression.

[tex]A=\pi r^2\\A=3.14\times 6.6^2\\A=176.78 \:\rm cm^2[/tex]

Thus, the area of circle is [tex]136.78\:\rm cm^2[/tex].

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