Circle problem #3

Question

Circle problem #3

callisto · Answer

attachment

thomas5267 · Answer

Can anyone find the area between line AB and arc AB?

anonymous · Answer

A

callisto · Answer

A is correct, but how did you get it?

anonymous · Answer

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anonymous · Answer

Okay not toohard.
ABC is Equilateral

thomas5267 · Answer

I think I got the right steps to calculate but I am using a iPad so I can't give you the exact value.
1. Calculate the area of equilateral triangle ABC.
2. Calculate the area of the segment ABC.  It should be (2pi)/6 cm^2.
3. Calculate the area between arc AC and line AC by subtracting area of the segment by triangle ABC.
4. Calculate the shaded area by 3(area of arc AC)+(area of equilateral triangle).

anonymous · Answer

Exactly.
Just find the (area of the sector - Area o triangle) *3 + Area of triangle

anonymous · Answer

area of the shaded region is area of the sector (pi/6) - area of the equilateral triangle ((sqrt3)/2).  multiply by 3 to get the 3 shaded parts around the equilateral triangle.  then add the area of the triangle.

callisto · Answer

Got it, thanks!! You guys are smart!!!! :)