How many vertices does the preimage have
1 answer:
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So... if you notice the picture below
each circle, has their central angle at the vertex of the triangle
that simply means, 3 circles with a radius of 3, overlapping the triangle
now, the area in the middle, the shaded one, will be, the whole area of the triangle MINUS those 3 circle sectors
hmmmm each sector has 60°, that means, all three of them will then be 60+60+60 or 180°, so the area of those three sectors, can be combined into a 180° sector, well, hell, 180° is really half a circle
so.... the area of those three sectors of 60° each, all three combined, is the same area of half a circle with a radius of 3
so
you can, add the fractions if you want, or leave them like that, or get their difference by using their decimal format
each circle, has their central angle at the vertex of the triangle
that simply means, 3 circles with a radius of 3, overlapping the triangle
now, the area in the middle, the shaded one, will be, the whole area of the triangle MINUS those 3 circle sectors
hmmmm each sector has 60°, that means, all three of them will then be 60+60+60 or 180°, so the area of those three sectors, can be combined into a 180° sector, well, hell, 180° is really half a circle
so.... the area of those three sectors of 60° each, all three combined, is the same area of half a circle with a radius of 3
so
you can, add the fractions if you want, or leave them like that, or get their difference by using their decimal format