a chord of length 16 cm is drawn in a circle of diameter 20 cm calculate its distance from the centre of the cicle
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Dear Student,
● Answer -
6 cm
● Explanation -
# Given -
chord length, l = 16 cm
diameter, d = 20 cm
# Solution -
Radius of the circle is calculated as -
r = d/2
r = 20/2
r = 10 cm
Distance of the chord from the centre of the circle is calculated by -
x = √[r² - (l/2)²]
x = √[10² - (16/2)²]
x = √(100 - 64)
x = √(36)
x = 6 cm
Hence, distance of chord from centre of the cicle is 6 cm.
Thanks dear. Hope this helps you...
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