3 years ago

Given circle O with chords CD = 12 and

Mathematics

1 answer:

LuckyWell [14K]3 years ago

0 0

Answer:

FB=6 Units
OE= 8 Units

Step-by-step explanation:

Theorem: A line drawn from the center perpendicular to the chord bisects the chord.

By the Theorem above, Point E and F bisects CD and AB into 6 Units each as seen in the diagram.

Therefore:

|FB|=6 Units

In Right Triangle OED, applying Pythagoras Theorem

$10^2=6^2+|OE|^2\\|OE|^2=100-36\\|OE|^2=64\\|OE|^2=8^2\\|OE|=8 \:Units$

Therefore:

FB=6 Units
OE= 8 Units

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