Question

Please answer number 5 thank you

Answer 1

Given :-

• Two circles with radius x -2 and x + 2.

To find:-

• The difference in the circumferences of the two circles.

Answer:-

As we know that the circumference of a circle is given by ,

`\sf \implies C = 2\pi r \\`

where,

• 
  `r` is the radius .

And here , the differences of the circumferences would be ,

`\sf \implies \Delta C = C_1 - C_2 \\`

`\sf \implies \Delta C = 2\pi r_1 - 2\pi r_2 \\`

`\sf \implies \Delta C = 2\pi ( r_1 - r_2) \\`

Here ,

• 
  `r_1` = x +2
• 
  `r_2` = x -2

So that ,

`\sf \implies \Delta C = 2\pi ( x + 2 - (x -2)) \\`

`\sf \implies \Delta C = 2\pi ( x + 2 - x + 2 ) \\`

`\sf \implies \Delta C = 2\pi * 4 \\`

`\sf \implies \underline{\underline{\Delta C = 8\pi }} \\`

Hence the difference in the circumferences of the two circles is 8π units .

and we are done!