Question

A sumo wrestling ring is circular and has a circumference of 4 . 6 π meters 4.6π meters. What is the area A A of the sumo wrestling ring in square meters? Give your answer in terms of π π.

Answer 1

54.56

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?

Answer 2

`A=5.29\pi`

Explanation:

Formula for circumference of a circle is:

Circumference =
`2\pi r`

Given circumference of the ring is
`4.6\pi`

Now solving for the radius gives us:

`2\pi r=4.6\pi\\r=(4.6\pi)/(2\pi)\\r=(4.6)/(2)=2.3`

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

area (A) =
`\pi r^2\\\pi (2.3)^2\\\pi (5.29)\\=5.29\pi`

Hence the Area (A), in terms of
`\pi` is
`5.29\pi`