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The area of a circle with a diameter of 240

Sagot :

genan

Answer:

in terms of pi: A = 14,400pi

A = 14,400(3.14) is 45,216

Step-by-step explanation:

Area of a circle is pir^2

Radius = diameter / 2

Radius = 240 / 2 which is 120

A = pi(120)^2

A = 14,400pi

Hi student, let me help you out! :)

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We are asked to find the area of a circle with a diameter of 240.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

  • First of all, we need to find the radius.

We can find the radius by dividing the diameter by 2:

[tex]\star~\large\pmb{240\div2=120}[/tex]

The radius is 120. Now it's time to compute the area!

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                                    Computing The Area

The formula for the area is:

[tex]\star~\large\pmb{Area_{(circle)}=\pi r^2}}[/tex]

See, there's the radius, r; we found a minute ago, and it equals 120 cm.

Now, substitute the value of r into the formula:

[tex]\begin{gathered} \sf{\longmapsto{A=\pi (120)^2} \\ \sf{\longmapsto{A=\pi\times14,400} \\ \sf{\longmapsto{A=45,238.9\;cm^2 \end[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

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