perplexus.info :: Geometry : Incircle in a semicircle

Incircle in a semicircle (Posted on 2023-11-30)

A semicircle with radius 1 is centered at O, and has diameter AB. Point P lies on the semicircle so that angle ABP=60 degrees. Compute the radius of the circle tangent to diameter AB, segment BP, and minor arc AP.

No Solution Yet Submitted by Danish Ahmed Khan

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Graphical approximation

| Comment 1 of 3

From Desmos it looks like the circle is centered at (.154, .488) with radius .488 (approximately)

https://www.desmos.com/calculator/0soo2stayt

Posted by Larry on 2023-11-30 13:48:02

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