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Tom [10]
3 years ago
11

Given the circle below with the secant FED and tangent CD, find the length of FE. Round to the nearest tenth if necessary.

Mathematics
1 answer:
yawa3891 [41]3 years ago
3 0

The circle is an illustration of tangent and secant lines, and the length of FE in the circle is 9.3 units

<h3>How to determine the length FE?</h3>

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

Read more about tangents and secants at:

brainly.com/question/14697178

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