The circle is an illustration of tangent and secant lines, and the length of FE in the circle is 9.3 units
How to determine the length FE?
The lengths are given as:
- DE = 12 units
- CD = 16 units
Start calculating the length DF using:
DE * DF = CD²
So, we have:
12 * DF = 16²
Evaluate the exponent
12 * DF = 256
Divide both sides by 12
DF = 21.3
The length FE is then calculated using:
DF = FE + DE
Substitute DE = 12 and DF = 21.3
21.3 = FE + 12
Subtract 12 from both sides
FE = 21.3 - 12
Evaluate the difference
FE = 9.3
Hence, the length of FE in the circle is 9.3 units
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