Question

if the radii of two concentric circles are question and 5 cm then find the length of each chord of the circle which is tangent to a circle​

Answer 1

Answer:

Since we have given that

Radius of small circle = 4 cm

Radius of large circle = 5 cm

So, we need to find the length of each chord of one circle which is tangent to the other circle.

Since it forms a right angle triangle.

So, by Pythagoras theorem :-

$h { }^{2} = b {}^{2} + p {}^{2} \\ 5 {}^{2} = b { }^{2} + 4 {}^{2} \\ b {}^{2} = 25 - 16 \\ b {}^{2} = 9 \\ b = 3cm$

So, lenght of chord :-

2b = 2 ✖ 3

= 6 cm

Hence, the length of the chord is 6cm

Hope it helped