MoosaSuperidn
Answered

Join IDNLearn.com to access a wealth of knowledge and get your questions answered by experts. Join our knowledgeable community and access a wealth of reliable answers to your most pressing questions.

The large circle has a radius of 10 cm. Find the radius of the
largest circle which will fit in the middle.

The Large Circle Has A Radius Of 10 Cm Find The Radius Of The Largest Circle Which Will Fit In The Middle class=

Sagot :

Answer:

Let AB  = 2r cm  where r is the radius of each small circle

And DB  = √2 *2r  cm

And we have that    2r  + √2 *2r  = 20 → r + √2r  = 10   →  r  = 10 / [ 1 + √2] cm

 

So the radius  of the small circle in the center  =   √2r  − r  =

[ 10√2] * / [ 1 + √2] ] − 10 / [ 1 + √2] cm =

[10 ( √2− 1) ] /  [ 1 + √2] cm ≈

[1.71572875....] cm

 

Step-by-step explanation:

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.