Find the radius r of C.

Step-by-step explanation:

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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

i use my brain for prombles like this maybe you could try it

step-by-step explanation: