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# Area Question

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1. 2 circles, each of radius r, overlap each other and the centre of one circle is the circumference of the other circle. Show that the area of overlap is r^2/4(4pi-3root3).

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2. (Original post by Mr Pussyfoot)
2 circles, each of radius r, overlap each other and the centre of one circle is the circumference of the other circle. Show that the area of overlap is r^2/4(4pi-3root3).

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Hint : try to form sectors of radius in the overlapping region.

3. Spoiler:
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4. (Original post by MartyO)
...
Heya! I see that you've been answering a few threads as of late, just thought that I'd let you know that here on TSR, we prefer to guide users and refrain from posting full solutions to queries, instead, that is left as a last ditch resort. Indeed, given that notnek posted a hint, it comes off as a bit rude for you to post a full solution. Thanks for reading and understanding! :-)
5. (Original post by notnek)
Hint : try to form sectors of radius in the overlapping region.

Thanks! I had trouble visualising it at first but the hint really helped. And yes it is r^2/6 (my mistake lol)

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6. (Original post by MartyO)
Spoiler:
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I think this method is a little too advanced for someone at my level!😂 But never would have imagined the problem could be approached in this way

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