Mathematics
Medium
Question
The radius of a circle is 10 cm and the length of one of its chords is 12 cm then the distance of the chord from the centre is:
A
6 cm
B
8 cm
✓ Official correct answer
C
10 cm
D
12 cm
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A
6 cm
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B
8 cm
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C
10 cm
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D
12 cm
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Explanation
Radius bisect the chord = 12/2 = 6cm
Using Pythagoras theorem distance of chord from center d^2 = (10)^2 - (6)^2 = 100-36 = d^2 = 64 => d = 8cm
Using Pythagoras theorem distance of chord from center d^2 = (10)^2 - (6)^2 = 100-36 = d^2 = 64 => d = 8cm