Middle School

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A sumo wrestling ring is circular and has a circumference of [tex]4.6\pi[/tex] meters. What is the area [tex]A[/tex] of the sumo wrestling ring in square meters? Give your answer in terms of [tex]\pi[/tex].

Answer :

Answer:

54.56

Step-by-step explanation:

A

3

cm

×

10

cm

3cm×10cmstart color #1fab54, 3, start text, c, m, end text, times, 10, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of

12

cm

12cmstart color #11accd, 12, start text, c, m, end text, end color #11accd.

What is the area of the shaded region?

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Rewritten by : Barada

Answer:

[tex]A=5.29\pi[/tex]

Step-by-step explanation:

Formula for circumference of a circle is:

Circumference = [tex]2\pi r[/tex]


Given circumference of the ring is [tex]4.6\pi[/tex]

Now solving for the radius gives us:

[tex]2\pi r=4.6\pi\\r=\frac{4.6\pi}{2\pi}\\r=\frac{4.6}{2}=2.3[/tex]


We know that area of a circle is [tex]\pi r^2[/tex], substituting the value of r we found, we get the area as:

area (A) = [tex]\pi r^2\\\pi (2.3)^2\\\pi (5.29)\\=5.29\pi[/tex]


Hence the Area (A), in terms of [tex]\pi[/tex] is [tex]5.29\pi[/tex]