Question

Find the radius r of C.

Answer 1

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Actually Welcome to the concept of Pythagoras theorem.

so, we get as,

==> (14)^2 + r^2 = (7+r) ^2

==> 196 + r^2 = 49 + 14r + r^2

=> cancelling r^2 from both sides, we get as,

==> 196 = 49 + 14r

==> 14r = 196-49

==> 14r = 147

==> r = 147/14 = 10.5

==> r = 10.5 units,

hence, r = 10.5 units

Answer 2

`r=10.5`

Explanation:

• 
  `(r+7)^2=r^2+14^2`

• 
  `r^2+14r^2+49=r^2+196`

• 
  `14r=196-49`

• 
  `14r=147`

• 
  `r=147/14`

• 
  `r=10.5`

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hope it helps..

have a great day!!