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What is The area of an equilateral triangle inscribed in a circle whose circumference is 16π?
Wiki User
∙ 12y ago
I know it's something like 12 root 3 or 48 root three, but idk how to get there.
There are 6 right angle triangles, each with an area of 1/2 base x height
Each area = 1/2 square root (64 - 16) x 4 = 2 x square root 48
So the total area = 12 x square root 48 = 83.1384 (or 12sqrt48).
Wiki User
∙ 12y ago
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What shows an equilateral triangle inscribed in a circle?
An equilateral triangle inscribed in a circle has three sides that are equal in length and three angles that are each 60 degrees. The center of the circle is also the intersection point of the triangle's perpendicular bisectors.
The area of a circle inscribed inside an equilateral triangle is 154 cm.Find te perimeter of the triangle.?
I love you KAvita
The radius of a incircle is 14cm what is the side of the equilateral triangle abc?
Where the side of the equilateral triangle is s and the radius of the inscribed circle is r:s = 2r * tan 30° = 48.50 cm
Is it true or false that the radius of the circle inscribed an equilateral triangle equals one-half the length of the length of the triangles median?
This is true. The answer is obvious if you think about it the following way: an equilateral triangle has three equal sides, and every point on the circumference of a circle is the same distance from the center of the circle. Therefore, it is safe to assume that the circle will touch the midpoint of each side of the triangle. It also means that the center of the circle will be in the center of the triangle. Therefore, the radius of the circle will travel from the center of the triangle to the midpoint of one of the sides. This will cover the distance of half the triangle's median.
Can a triangle be inscribed in a circle?
Yes. Any triangle can be inscribed within a circle, although the center of the circle may not necessarily lie within the triangle.
What Are The steps used in the construction of an equilateral triangle inscribed in a circle?
Draw a circle using a compass. Then, without changing the compass setting, place its point on the circumference of the circle, at any point A, and draw two arcs to intersect the circumference at B and C. Move the compass to B and draw another arc to intersect the circumference at D; and then from C to E. ADE will be an inscribed equilateral triangle.
What shows an equilateral triangle inscribed in a circle?
An equilateral triangle inscribed in a circle has three sides that are equal in length and three angles that are each 60 degrees. The center of the circle is also the intersection point of the triangle's perpendicular bisectors.
Can an equilateral triangle be inscribed in a circle?
Yes and perfectly
Can an equilateral triangle be circular?
Yes. Any triangle can be inscribed in a circle.
When constructing an inscribed equilateral triangle how many arcs will be drawn on the circle?
4
A polygon in which each side is tangent to the circle?
A square or an equilateral triangle for example when a circle is inscribed within it.
The area of a circle inscribed inside an equilateral triangle is 154 cm.Find te perimeter of the triangle.?
I love you KAvita
The circumcenter of a triangle is the center of the circle inscribed in the triangle?
The circumcenter of a triangle is the center of the circle drawn outside the triangle with all three vertices touching its circumference.
The radius of a incircle is 14cm what is the side of the equilateral triangle abc?
Where the side of the equilateral triangle is s and the radius of the inscribed circle is r:s = 2r * tan 30° = 48.50 cm
Is it true or false that the radius of the circle inscribed an equilateral triangle equals one-half the length of the length of the triangles median?
This is true. The answer is obvious if you think about it the following way: an equilateral triangle has three equal sides, and every point on the circumference of a circle is the same distance from the center of the circle. Therefore, it is safe to assume that the circle will touch the midpoint of each side of the triangle. It also means that the center of the circle will be in the center of the triangle. Therefore, the radius of the circle will travel from the center of the triangle to the midpoint of one of the sides. This will cover the distance of half the triangle's median.
Can a triangle be inscribed in a circle?
Yes. Any triangle can be inscribed within a circle, although the center of the circle may not necessarily lie within the triangle.
If a circle is inscribed in a triangle the center of the circle is called the what of the triangle?
The circumcenter of the triangle.
