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SashulF [63]
2 years ago
6

The area of a circle with a diameter of 240

Mathematics
2 answers:
wel2 years ago
5 0

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

marissa [1.9K]2 years ago
5 0

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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

\triangle~\fbox{\bf{KEY:}}

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

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

\star~\large\pmb{240\div2=120}

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

///\\\///\\\///\\\\////\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\////\\\///\\\///\\\///\\\

                                    <u>Computing The Area</u>

<u></u>

The formula for the area is:

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

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:

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

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

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Irina can paint 1/9 of a room in 1 hour since she can paint a room in 9 hours. 1/9x, where x is the number of hours she works and 1/9 of a room per hour is her speed, would be her part of the calculation.

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