Question

Find the radius r of C.

Answer 1

Answer:

$r=10.5$

Step-by-step 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..

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Answer 2

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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