This design is made from 1 blue circle, 4 orange circles and 16 green circles. The circles touch each othe Given that the radius of each green circle is I unit, find the exact radius of a the orange circles, b the blue circle.

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MrRoyal MrRoyal · Answer 1 · 2022-08-09T20:34:06+02:00

The radius of the orange circle is 1.5 unit and the radius of the blue circle is 2.25 units

The figure that completes the question is added as an attachment

The orange circle

The radius of the green circle is given as:

r = 1

One and half green circle make up the radius of the orange circle.

So, the radius of the orange circle is

R = 1.5 * r

This gives

R = 1.5 * 1

R = 1.5

Hence, the radius of the orange circle is 1.5 unit

The blue circle

The radius of the orange circle is given as:

r = 1.5

One and half orange circle make up the radius of the blue circle.

So, the radius of the blue circle is

R = 1.5 * r

This gives

R = 1.5 * 1.5

R = 2.25

Hence, the radius of the blue circle is 2.25 units