b) A chord of length 48 cm is at a distance of 10 cm from the centre of a circle. If another
chord of length 20 cm is drawn in the same circle, find its distance from the centre of the
circle.
Answers
Given : A chord of length 48cm is at a distance of 10cm from the center of a circle .If another chord of length 20cm is drawn in the same circle
To find : distance of chord of length 20cm from the center of the circle.
Solution:
Perpendicular from Center on Chord bisect it
chord of length 48cm
=> 48/2 = 24 cm
Distance from Center = 10 cm
Radius² = 24² + 10²
=> Radius² = 24² + 10²
=> Radius² = 26²
=> Radius = 26 cm
Let say chord of length is at Distance d from center
Then Chord length = 20 cm => 20/2 = 10 cm
d² = 26² - 10²
=> d² = 24²
=> d = 24 cm
distance from the center of the circle. = 24 cm
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