Question

a circle placed against a right triangle centred at O is the 14 cm radius . what is the radius of the smaller circle placed in the remaining gap?​

Answer 1

Answer:

Step-by-step explanation:

Let the radius of the larger circle is `R` and radius of the smaller circle is `r`.<br> We can create a diagram with the given details. Please refer to video for the diagram.<br> From the diagram, we can say that,<br> `R^2+R^2 = (R+2r)^2`<br> `=>2R^2 = (R+2r)^2`<br> `=>R+2r = sqrt2R`<br> `=>2r = sqrt2R-R`<br> `=> r = (R(sqrt2-1))/2`<br> We are given, `R = 2`,<br> `:. r = sqrt2 -1`<br> So, radius of smaller circle will be `sqrt2-1`.<br>

Answer 2

Answer:

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Step-by-step explanation:

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