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]
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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