Math, asked by mineshgandhi01, 2 months ago

Two circle with radii 3 cm and 5 cm intersect each other at a point . If the distance between their points are 4 cm. Find length of chord connecting.

Answers

Answered by amitnrw
2

Given : Two circle with radii 3 cm and 5 cm intersect each other at a point

the distance between their centers are 4 cm.

To Find : Length of chord connecting

Solution:

Let say chord = 2h

Half chord = h

3² - h²  = x²  

5² - h² = (4 - x)²

=> 5² - 3² = (4 - x)² - x²

=> 16  = -8x + 16

=> x = 0

3² - h²  = x²  

=> 3² - h²  = 0

=> h = 3

=> 2h = 6

Length of chord = 6 cm

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