The radius divides the diameter into 2, and the radius of the circle is 16 units
How to determine the radius?
The radius of the circle and the tangent line meet at a right angle.
This means that:
CE² = r² + DE² ------ Pythagoras theorem
So, we have:
34² = r² + 30²
Evaluate the squares
1156 = r² + 900
Rewrite as:
r² = 1156 - 900
Evaluate
r² = 256
Take the square root of both sides
r = 16
Hence, the radius of the circle is 16 units
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