Find the radius of the circle!!

J

johnmcclean752

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Jul 11, 2021
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There is a circle which is internally tangent with a semicircle and two tangent lines of the circle are 3cm and 4cm, also the tangent lines intersect each other in the diameter of the semicircle. Find the radius of the circle!! (Please see the image)
64C2249B-DBA0-4DF1-ACEF-B468ADA65C45.jpeg
 
Hi, welcome to the forum.
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Beautiful.
I think that covers this problem well!
I added in the original data: 3, 4 and 45º

1626421287426.png
 
Beer soaked comment follows.

I've always wanted to add that small 45° angle indicator at the vertices but I guess that feature of Desmos is not available for the phone app version; it's either that or I need to do more research.
 
jonah2.0 said:
Beer soaked comment follows.

I've always wanted to add that small 45° angle indicator at the vertices but I guess that feature of Desmos is not available for the phone app version; it's either that or I need to do more research.
Click to expand...
Simply this:

1626440436646.png

with a label.
 
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