What is the maximum area of triangle that can be inscribed in a circle?

What is the maximum area of triangle that can be inscribed in a circle?

equilateral triangle
isosceles triangle with base equal to 2r. d. An equilateral triangle having each of its side of length √3r. The triangle of the maximum area that can be inscribed in a circle is an equilateral triangle.

What is the area of the largest triangle that can be inscribed in a circle of radius 2cm?

= 1/2 × 2 × (2+2) sq cm. = 4 sq cm. Hope this helps you.

What is the area of the largest triangle that can be inscribed in a circle with radius 12?

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The area of the largest triangle that can be inscribed in a circle of radius 12 is 108*sqrt 3.

Which of the following triangle has maximum area?

equilateral one
Among all triangles inscribed in a given circle, the equilateral one has the largest area. Among all triangles inscribed in a given circle, the equilateral one has the largest area.

Which triangle can be inscribed in a circle?

Any triangle can be inscribed in a circle. Right triangles are the only ones where the circumcenter lies on one of the sides.

What is the area of the largest square that can be inscribed in a circle of radius 12 cm Class 10?

The area of the largest square that can be inscribed in a circle of radius 12 cm is 288 cm2.

What is the area of the largest square that can be inscribed in a circle of radius 10 Centimetre?

24 cm2.

What is the radius of a circle inscribed in a triangle?

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For any triangle △ABC, let s = 12 (a+b+c). Then the radius r of its inscribed circle is r=Ks=√s(s−a)(s−b)(s−c)s. Recall from geometry how to bisect an angle: use a compass centered at the vertex to draw an arc that intersects the sides of the angle at two points.

What is the area of the largest triangle that can be inscribed in a semicircle of radius 8 cm?

Area of tiangle=64 square centimetre.

What is the maximum area of a triangle inscribed in circle?

So, maximum area of a triangle inscribed in a circle of radius a = we calculate AB first x² = 9a²/4 +x² /4 => x² – x²/4 = 9a² /4 => x² = 3a² => x= √3a = BC.

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. Discussion. Though it is intuitively true that an inscribed figure with sides equidistant from the center of the circle has the largest area]

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What is the area of △ a b x?

Area of △ A B X is half the area of the isosceles triangle we are originally looking at. Altitude rule for △ A B C : x 2 = q × p.

What is the equation of the area of a circle?

So you take the total area to be 6 x (6 (pi) dm^2). You also know the equation of the area of a circle to be A = (pi)r^2.