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Math Help - Intersecting circles

  1. #1
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    Intersecting circles

    Given an arc PQ with curvature 1/9, Three identical circles with radii 3 and centered at B,G,A respectively. The circumference of the circles pass through each other's centers. Find the area of the shaded region.

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  2. #2
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    Re: Intersecting circles

    Hey blehbleh.

    Can you show us what you have tried?
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  3. #3
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    Re: Intersecting circles

    Hi,

    I actually got the results already. I was wondering if there is an alternative solution. I wanted to see if this can be solved using polar integration by letting G be the origin. The area of the black circle can be solved using polar integration by getting angle CGE. Which can be derived by cosine law. I was wondering if it is also possible for the blue area by getting angle DGF? But I couldn't seem to get it anymore by using cosine rule.

    Also is there an alternative solution to solve the red area other than 2(sector GBH - triangle GBH)?
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