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What is the area in sq cm of the circle circumscribed about an equilateral triangle with a side 10 cm long?
Wiki User
∙ 12y ago
Radius = 5*2/sqrt(3) = 5.77 cm
So area = pi*r2 = 104.72 cm2 (approx)
Wiki User
∙ 12y ago
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What is the voume of equilateral triangle?
A triangle has area, not volume.
What is the area of an equilateral triangle that has a perimeter of 71 feet?
Find the area of an equilateral triangle if its perimeter is 18 ft
Area of equilateral triangle?
To get the area of an equilateral triangle, you just need to know the length of one side. Multiply the length of one side by the square root of three and then divide the product by four, and you will get the area of the triangle.
How do you find the area of a segment of a circle if the radius of the circle and the chord of the segment each have length 12?
There must be an equilateral triangle within the sector of the circle and so:- Area of sector: 60/360*pi*12*12 = 75.39822369 Area of triangle: 0.5*12*12*sin(60 degrees) = 62.35382907 Area of segment: 75.39822369-62.35382907 = 13.04439462 or about 13 square units
What is the area of an equilateral triangle with 28 m for its lengths?
Area is 339.48196 m2
The area of a circle inscribed inside an equilateral triangle is 154 cm.Find te perimeter of the triangle.?
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What are the dimensions of an isosceles triangle of least area that can be circumscribed about a circle of radius r?
The isosceles triangle of least area that can be circumscribed about a circle of radius r turns out to be not just isosceles, but also equilateral. Each side has length 2r x ( 3 )0.5 . The area is r2 x (27)0.5 . Thanks are due to litotes for pointing out that the original answer did not actually answer the question ! tpm Since the equilateral triangle is also an isosceles triangle, we can say that at least area that can be circumscribed to a circle is the area of an equilateral triangle.If we are talking only for isosceles triangle where base has different length than two congruent sides, we can say that at least area circumscribed to a circle with radius r, is the area of an isosceles triangle whose base angles are very close to 60 degrees. Solution: Let say that the isosceles triangle ABC is circumscribed to a circle with radius r, where BA = BC. We know that the center of the circle inscribed to a triangle is the point of the intersection of the three angle bisectors of the triangle. Let draw these angle bisectors, and denote with D the point where the bisector drawn from the vertex, B, of the triangle, intersects the base AC. Since the triangle is an isosceles triangle, then BD bisects the base and it is perpendicular to the base. So that AD = DC, OD = r, and the triangles ADB and AOD are right triangles (O is the center of the circle). In the triangle ADB, we have:tan A = BD/AD, so that AD = BD/tan A In the triangle AOD, we have:tan A/2 = OD/AD, so that AD = r/tan A/2, and AC = 2r/tan A/2 Therefore,BD/tan A = r/tan A/2, andBD = (r tan A)/tan A/2 Area of triangle ABC = (1/2)(AC)(BD) = (1/2)(2r/ tan A/2)[(r tan A)/tan A/2] = (r2 tan A)/tan2 A/2 After we try different acute angles measure, we see that the smallest area would be: If the angle A= 60⁰,then the Area of the triangle ABC = r2 tan 60⁰/tan2 30⁰ ≈ 5.1961r2 If the angle A= 59.8⁰,then the Area of the triangle ABC = (r2 tan 59.8⁰)/tan2 29.9⁰ ≈ 5.1962r2
How do you find the smallest possible area of an isosceles triangle that is circumscribed about a circle of radius r?
It is 5.196*r^2 square units.
FORMULA- area of equilateral triangle?
Area of Equilateral Triangle A= S2 * (Root 3)/4, where A= Area of the triangle S= Side of the triangle.
What is circumscribed area and inscribed area of regular polygon?
circumscribed means the polygon is drawn around a circle, and inscribed means the polygon is drawn inside the circle. See related links below for polygon circumscribed about a circle and polygon inscribed in a circle.
What is the formula for the area of a regular hexagon?
A regular hexagon can be considered as being built up of six equilateral triangles. Each equilateral triangle has an area of (b/2) * sqrt (3b/2) where b is the side of the equilateral triangles that make up the hexagon and also the radius of the hexagon's circumscribed circle, and sqrt means the square root ofSo the area of the regular hexagon with side length b is 3 * b * sqrt (3b/2)
A triangle or a square or a rectangle or a pentagon or a hexagon or an octagon or a circle has the least area and which has the maximum area if the perimeter of each is 44 cm?
Triangle-least area, circle- most area, per given perimeter . The circle would have an area of 154 square cm. the triangle could have an area of almost zero if it were a long, skinny triangle. An equilateral triangle would have an area approx 92.8 sq cm.
An equilateral triangle and a square have equal perimeters what is the ratio of the area of the triangle to the area of the square?
If an equilateral triangle and a square have equal perimeters, then the ratio of the area of the triangle to the area of the square is 1:3.
What is the perimeter and area of an equilateral triangle with a side of 8?
Perimeter of equilateral triangle: 24 units Area of equilateral triangle: 27.713 square units rounded to three decimal places
What is the voume of equilateral triangle?
A triangle has area, not volume.
What is the area of an equilateral triangle that has a perimeter of 71 feet?
Find the area of an equilateral triangle if its perimeter is 18 ft
What is area of triangle when height is 50cm and triangle is an equilateral?
Area = 1443.376 cm2
