two parallel chords are drawn in a circle of diameter 30 cm the length of one chord is 24 cm and the distance between the two chord is 21 cm dind the length of other chrod
Answers
length of other chord = 18 cm
Step-by-step explanation:
two parallel chords are drawn in a circle of diameter 30 cm
=> Radius = 15 cm
Distance between Chords are 21 cm
Distance between Chords 21 > 15 (Radius)
=> Chords are on different sides of a partcular diameter
Let say Perpendicular distance of chord of 24 cm length from center = x
then Perpendicular distance of other chord = 21 - x
Perpendicular from center at chord bisect the chord
=> 15² - (24/2)² = x²
=> 225 - 144 = x²
=> 81 = x²
=> x = 9
21 - x = 21 - 9 = 12
=> 15² - 12² = (Other Chord/2)²
=> 225 - 144 = (Other Chord/2)²
=> 81 = (Other Chord/2)²
=> 9 = Other Chord/2
=> Other Chord = 18 cm
length of other chord = 18 cm
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