(adsbygoogle = window.adsbygoogle || []).push({}); URGENT: Regarding finding the area of a certain region within a circle

Hello

I have included an image of the diagram with the question on it. I understand what I am trying to find here is the sector of the circle, however to calculate this you must have the radius of the circle... something which this certain problem does not give. Can someone please lead me in the correct direction to solving this problem... thanks.

edit: perhaps I have made some progress... if I make the outer regions a triangle (therefore creating 4 segments and 4 triangles of course), is it possible for me to just simply find the area of the triangle and then find the area of the segment then add these togeather to find the total area? I am not so sure as to how I find the area of a segment in this particular problem since in order to find the area of a segment, you must have the radius. I am not sure if I am able to just calculate this by using 3 as the radius. Here is what I have so far, but I am not so sure this is correct.

K(area) = (1/2)(3)(3)sin60

K(area) = 3.897114317

then after calculating the area of the triangle, I go on to calculate the segment by

A (area of segment) = (1/2)3^2((pi/180)(60)-sin60))

A = .8152746634

Now for the total area of one side I would add K + A to get 4.71238898. I would go on to multiply this by 4 to find the total area of the shaded region. I am very skeptical about the way I tried to solve this.

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# Homework Help: Pre-Calculus - Regarding finding the area of a certain region

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