The radius of a circle is 2.5 cm. AB, CF are two parallel chords 3.9 cm apart. If AB=1.4cm,find CF
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CF = 4 cm if The radius of a circle is 2.5 cm. AB, CF are two parallel chords 3.9 cm apart and AB=1.4cm
Step-by-step explanation:
Radius of Circle = 2.5 cm
AB, CF are two parallel chords 3.9 cm apart
3.9 > 2.5
=> chord are on different side from a diameter parallel to AB & CF
Let say ⊥ Distance of AB from center = x cm
then ⊥ Distance of CF from center = 3.9 - x cm
⊥ from Center Bisects chord
=> 2.5² - (1.4/2)² = x²
=> 2.5² - (0.7)² = x²
=> x = 2.4
3.9 - x = 3.9 - 2.4 = 1.5
=> 2.5² - 1.5² = (CF/2)²
=> 4 = (CF/2)²
=> CF/2 = 2
=> CF = 4 cm
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