What is the area of the largest triangle that is inscribed in a semicircle?
Table of Contents
- 1 What is the area of the largest triangle that is inscribed in a semicircle?
- 2 What is the area of the largest triangle that can be inscribed in a semicircle of radius 3.5 cm?
- 3 What is the area of the larger triangle?
- 4 What is area of the largest triangle that can be?
- 5 What is the largest area of a circle?
- 6 How do you find the whole area of a circle?
What is the area of the largest triangle that is inscribed in a semicircle?
2r2 cm2.
What is the area of the largest triangle that is inscribed in a semicircle of radius 10 units?
What is the area of the largest triangle that can be inscribed in a semicircle of radius 3.5 cm?
So, Area of ΔABC=49cm2.
What is area of the largest triangle?
The largest triangle is isosceles triangle and Area =12r2×2=r2.
What is the area of the larger triangle?
When the linear dimensions of a plane figure are multiplied by r, the area of the figure is multiplied by r2. Therefore the larger triangle has an area 32, i.e. nine times the area of the original triangle; Answer = 270 sq.
What is largest triangle area?
What is area of the largest triangle that can be?
The area of the largest triangle that can be inscribed in a semi-circle of radius ‘r’ is: r2. 2r2.
What is the area of a triangle inscribed in a circle?
The largest triangle that can be inscribed in a circle is an equilateral triangle. If its radius is r, then the altitude of the ET will be 3r/2 and the base of the ET = 2(3r/2)*cot 60 = 3r*0.577350269 =1.732050808r. The area of the ET = 1.732050808r.3r/2 =2.598076211 r^2.
What is the largest area of a circle?
From the results of the Algebra and Trigonometry above, ABC is the largest area that can be constructed in such a circle. That is, a triangle with sides equidistant from the center of the circle.
How do you find the largest area of a triangle?
Pick one side of the triangle as the base (rotate the circle so that the base is horizontal for a clearer view). Then the largest area you can get is by putting the point opposite the base as far away from from the base as possible. This happens to be halfway along the longest arc between the endpoints of the base.
How do you find the whole area of a circle?
In any Circle, an Equilateral is the largest area of any Inscribed Triangle. Split the triangle into three by joining the center to each vertex. For each of these smaller triangles we can use the formula to find the area. Here a=b=r and C=120º so the sin is and the area will be and the whole area is .