Abc Is An Equilateral Triangle Inscribed In A Circle Of Radius 4 Cm Find The Area Of The Shaded

Abc Is An Equilateral Triangle Inscribed In A Circle Of Radius о Abc is an equilateral triangle inscribed in a circle of radius 4 cm. find the area of the shaded portion.jee mains 2020, jee main january, class 12, jee main. A circle is inscribed in an equilateral triangle abc of side 12 cm. find the radius of inscribed circle and the area of the shaded region. [use π = 3.14 a n d √ 3 = 1.73 ] view solution.

In Fig 12 43 A Circle Is Inscribed In An Equilateral Triangle Abc An equilateral triangle abc of side x units is inscribed in a circle which is centered at o, as shown below. then the radius of this circle is then the radius of this circle is q. Konstantinos michailidis. nov 22, 2015. let abc equatorial triangle inscribed in the circle with radius r. applying law of sine to the triangle obc, we get. a sin60 = r sin30 ⇒ a = r ⋅ sin60 sin30 ⇒ a = √3 ⋅ r. now the area of the inscribed triangle is. a = 1 2 ⋅ am ⋅ bc. now am = ao om = r r ⋅ sin30 = 3 2 ⋅ r. and bc = a. H = a × √3 2. substituting h into the first area formula, we obtain the equation for the equilateral triangle area: area = a² × √3 4. 2. using trigonometry. let's start with the trigonometric triangle area formula: area = (1 2) × a × b × sin(γ), where γ is the angle between the sides. we remember that all sides and all angles. Equilateral triangle. this online calculator calculates characteristics of the equilateral triangle: the length of the sides, the area, the perimeter, the radius of the circumscribed circle, the radius of the inscribed circle, the altitude (height) from single known value. in geometry, an equilateral triangle is a triangle in which all three.