0
The center of the circle that can be inscribed in a triangle is known as the?
Wiki User
∙ 10y ago
Incenter (apex)
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
What is the center of a triangle called and why?
The centre of a triangle is known as the centroid.
What is a segment that contains the center of the circle and has both endpoints on the circle known as?
It is the diameter.
What is a point from where the points on the circle are of equal distances?
That point is known as the "center of the circle". Every circle has one.
What logo is a triangle with a circle in the middle?
AOL - previously known as America Online
What will be the perimeter of an equilateral triangle inscribed in a circle of area154 sq.cm?
The formula for area of a circle is Area=pi*radius2 you know the area of your circle so now find the radius. 154 = pi*r2 r = 7 cm if you can imagine the equilateral triangle in the circle imagine that the radius touches the exact center of this triangle and can extend to one of the three points on the triangle. (this next part would be so much easier if i could draw you a picture). now, if you remember that an equilateral triangle has three angles that each measure up to 60 degrees. if you take the radius of the circle and draw a line from the center of the triangle to the tip of the triangle you will actually cut on of the 60 degree angles in half. this would now make you have an angle 30 degrees. if you do this same thing to another point you will notice you actually have another triangle inside this triangle. since all triangle angles add up to 180 degrees you know all three angles of this new triangle. (note: this new triangle is not an equilateral triangle). so this new triangle has an angle 30 degrees, 30 degrees, and 120 degrees. you can now use the law of sines to find out the length of one side of the equilateral triangle. if you have drawn your picture correctly then you will see that one side of the new triangle actually shares one side of the equilateral triangle. if you look at your new triangle their is only one side that is known a known quantity. this side is the side that is shared with the equilateral triangle. use the law of sines to figure out the length of this side... 7 / sin(30) = x / sin(120) x = 12.12cm you now know that one side of the equlateral triangle is 12.12cm. since there is three sides to the triangle the total perimeter of the equilateral triange is 12.12 times 3 your answer for the perimeter of the equilateral triangle is 36.36cm
What is the center of a triangle called and why?
The centre of a triangle is known as the centroid.
What is the cord that passes through the center of the circle?
the cord that passes through the center of the circle is known as the diameter, the whole circle on the out side is known as the circumference, the dot in the middle is known as the center and the radius is the line what goes half way through the circle from the diameter.
What is a segment that contains the center of the circle and has both endpoints on the circle known as?
It is the diameter.
The medians of a triangle intersect at a point called the?
Center of gravity of the triangle * * * * * Also known as the CENTROID
What is a point from where the points on the circle are of equal distances?
That point is known as the "center of the circle". Every circle has one.
What logo is a triangle with a circle in the middle?
AOL - previously known as America Online
Is the centroid of a triangle always the circumcenter of a triangle?
No way! An easy example is the centroid and circumcenter of a right-angle triangle. Circumcenter will be exactly on the middle of the hypotenuse which obviously cannot be the centroid. Centroid is the point where all three lines are connecting all the three vertices and the middle of the line opposite the respective vertex. Circumcenter is the center of the circle passing through all the vertices. As it is known, a right-angle triangle will always fall within a semicircle, meaning the circle center will always be on the middle of the hypotenuse.
What will be the perimeter of an equilateral triangle inscribed in a circle of area154 sq.cm?
The formula for area of a circle is Area=pi*radius2 you know the area of your circle so now find the radius. 154 = pi*r2 r = 7 cm if you can imagine the equilateral triangle in the circle imagine that the radius touches the exact center of this triangle and can extend to one of the three points on the triangle. (this next part would be so much easier if i could draw you a picture). now, if you remember that an equilateral triangle has three angles that each measure up to 60 degrees. if you take the radius of the circle and draw a line from the center of the triangle to the tip of the triangle you will actually cut on of the 60 degree angles in half. this would now make you have an angle 30 degrees. if you do this same thing to another point you will notice you actually have another triangle inside this triangle. since all triangle angles add up to 180 degrees you know all three angles of this new triangle. (note: this new triangle is not an equilateral triangle). so this new triangle has an angle 30 degrees, 30 degrees, and 120 degrees. you can now use the law of sines to find out the length of one side of the equilateral triangle. if you have drawn your picture correctly then you will see that one side of the new triangle actually shares one side of the equilateral triangle. if you look at your new triangle their is only one side that is known a known quantity. this side is the side that is shared with the equilateral triangle. use the law of sines to figure out the length of this side... 7 / sin(30) = x / sin(120) x = 12.12cm you now know that one side of the equlateral triangle is 12.12cm. since there is three sides to the triangle the total perimeter of the equilateral triange is 12.12 times 3 your answer for the perimeter of the equilateral triangle is 36.36cm
What is the orthocenter of a triangle?
The orthocenter of a triangle is the point where the three altitudes of the triangle intersect. An altitude extends from a vertex (i.e. corner of the triangle) to the side opposite of it, and is perpendicular either to the side of the triangle, or to its extension. The three altitudes of a triangle are always concurrent (intersect at the same point). This point is known as the orthocenter, and always falls on the Euler Line with the centroid, circumcenter, and the center of the triangle's nine-point circle.
Which are Thales's of Miletus five theorems of elementary geometry?
A circle is bisected by its diameterAngles at the base of any isosceles triangle are equal.If two straight lines intersect, the opposite angles formed are equal.If one triangle has two angles and one side equal to another triangle, the two triangles are equal in all respects.Any angle inscribed in a semicircle is a right angle. This is known as Thales' Theorem.
When an object moves in a circle blanke acts to accelerate the object toward the center of that circle is known as what?
Centripetal Force is the answer :)
An equilateral triangle surrounds a circle of radius 10 cm and is itself surrounded by a larger circle Find the radius of the bigger circle?
Make a sketch of the situation. From a corner of the equilateral triangle draw a radius of the large circle, and from an adjacent side draw a radius of the smaller circle. You should have formed a small right-angled triangle with a known side of 10cm. and known angles of 30o, 60o and 90o. (The interior angles of an equilateral triangle are each 60o.) The hypotenuse is the unknown radius of the larger circle. But since cos 60 = 0.5, it is evident that the hypotenuse is 20cm. long.
