The circumference of the circle is 24 cm and the radius is √x+2. Find x and its radius. Use = 3.14 . Round your answer to two decimals.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Circumference of a circle :

[tex]\qquad \tt \dashrightarrow \:2 \pi r[/tex]

And we have been given that Circumference = 24 cm

So, let's equate them and find radius (r) :

[tex]\qquad \tt \dashrightarrow \:2 \pi r = 24[/tex]

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{ 24}{2 \pi}[/tex]

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{ 12}{3.14}[/tex]

[tex]\qquad \tt \dashrightarrow \:r = 3.82 \: \: cm[/tex]

So, we got the radius here. now let's equate it with expression in terms of x to find value of x

[tex]\qquad \tt \dashrightarrow \: \sqrt{x + 2} = 3.82[/tex]

[tex]\qquad \tt \dashrightarrow \:{x + 2} = (3.82) {}^{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:{x } \approx 14.59 - 2[/tex]

[tex]\qquad \tt \dashrightarrow \:{x } \approx 12.59 \: \: cm[/tex]

x = 12.61

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[tex]\bold{C = 2\pi r}[/tex]                                     [ C = 24, π = 3.14, r = √x+2 ]

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20.8 18.7 19.9 20.6 21.9 23.4 22.8 24.9 22.2 20.3
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18.0 19.1 19.2 18.8 18.4 19.0 18.5 16.1 16.8 14.0
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Click to download the data in your preferred format.

CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt!

Back‑to‑back stemplots of the tips are shown.

Good Weather Tips Bad Weather Tips
13 6
14 0
15
16 1 8
17 0 5
7 18 0 0 2 4 5 8 8
9 19 0 1 2 4
8 6 5 3 20 0 2
9 2 21
8 7 3 2 2 1 0 22
4 23 2
9 9 0 24
25
26
0 27
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