An equilateral triangle has one of its side coinciding with the diameter of the unit circle. The area of the region inside the triangle but outside the circle is

An equilateral triangle has one of its side coinciding with the diamet

1.	An equilateral triangle has one of its side coinciding with the diameter of the unit circle. The area of the region inside the triangle but outside the circle is
Answer» We can create a diagram with the given details. Please refer to video for the diagram. Side of equilateral triangle will be the diameter of the circle. `:. AB = BC = AC = 2` units. Radius of the circle = `1` unit We can see from the figure, there are two equilateral triangle with each side as `1` unit in side the circle and also there is an arc subtending an angle `60^@` with the center. So, Required area`(A) = ` Area of triangle ABC - (Area of two equilateral triangles+ Area of the sector) `=> A = sqrt3/4(2)^2 - (2sqrt3/4(1)^2-60/360pi(1)^2)` `=>A = sqrt3 - (sqrt3/2-pi/6) = sqrt3/2-pi/6` So, required area is `sqrt3/2-pi/6` square units.

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An equilateral triangle has one of its side coinciding with the diameter of the unit circle. The area of the region inside the triangle but outside the circle is

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