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Three circles of radius 1 are drawn, each tangent to each other.  Find the radius of the large circle.

 

 May 8, 2020
 #1
avatar+79 
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Sorry mate but I don't know how to help.

 

One thing you could do is:

 

- Draw an equilateral triangle in the middle (each point connecting to the centre of the small circles)

--> The length of the triangle sides would = 2

 

- Use this formula to find the distance from the vertices of the triangle to the centre:

--> https://www.quora.com/What-is-the-distance-between-the-centre-of-an-equilateral-triangle-and-any-of-its-vertices 

 

- + 1 (length of the radius)

 

Hope this helps (pretty sure this is not the way to go about it but it logically works)..

 

:) <3

 May 8, 2020
 #2
avatar+12202 
+2

Three circles of radius 1 are drawn, each tangent to each other.  Find the radius of the large circle.

 May 8, 2020
 #3
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MN = MP = 1

 

Angle NMO is 30°

 

OM = MN / cos(30°)  = 1.154700538

 

OP = OM + MP = 2.154700538

 

The radius of a large circle    r = 2.154700538  wink

 

 May 8, 2020

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