The line AB from the diagrammatic expression of the tangent of the circle shows that line AB is 24.0
What is the tangent of a circle?
A tangent of a circle is a line that intersects the circle at a single point. The site at which the tangent intersects the circle is referred to as the site of tangency.
From the given information:
- Line |CD| = Diameter
- Line |EA| = radius = 18
- Line |DB| = 12
Then, we can infer that line EA = DE since they are both (radii of the circle.)
By using the formula for Pythagoras theorem, we can find line |EA|.
where;
- Line |BE| = hypotenuse = DB + BE = 12 + 18 = 30
- Line |AB| = opposite (x) = ???
- Line |EA| = adjacent = 18
Thus;
30² = x² + 18²
900 = x² + 324
-x² = -900 + 324
x = √576
x = 24.0
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