Question

Two circles of radius 4 cm and 6 cm touch each other internally. What is the length (in cm) of the longest chord of the outer circle, which is also a tangent to inner circle?

Answer 1

Answer:

longest chord 6,+6=12cm radius 4cm is tangent to inner circle

Answer 2

The required length is 4√5 cm.

Step-by-step explanation:

Since we have given that

Radius of smaller circle = 4 cm

Radius of larger circle = 6 cm

So, we need to find the length of the longest chord of the outer circle.

Using the "Pythagorus theorem":

we get that

$B^2+P^2=H^2\\\\4^2+B^2=6^2\\\\16+B^2=36\\\\36-16=B^2\\\\H=\sqrt{20}=2\sqrt{5}$

So, the length of longest chord would be

$2\times 2\sqrt{5}=4\sqrt{5}\ cm$

Hence, the required length is 4√5 cm.

# learn more:

Two circle of radius 4 cm and 6 cm touch each other internally find the longest chord of the bigger circle which is outside of the smaller circle

https://brainly.in/question/9139167