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Is it true or false the lateral face of a cylinder can be spread out to form a circle?
False. The lateral face of a cylinder, when spread out, forms a rectangle, not a circle. The height of the cylinder becomes one dimension of the rectangle, while the circumference of the base of the cylinder becomes the other dimension.
The shortest distance from the center of the circumscribed circle to the sides of the inscribed triangle is the circles radius?
FALSE
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.
Is it true or false that a radius is a chord of a circle?
False
What A triangle is inscribed in another figure if each vertex of the triangle touches that figure true or false?
True. A triangle is said to be inscribed in another figure if each vertex of the triangle lies on the boundary of that figure. For example, a triangle inscribed in a circle has all its vertices touching the circumference of the circle.
True or false the radius r of circle is the distance across the circle through its center?
False:: The distance from the circle centre to the circulference is the RADIUS. However, As a straight line, the distance from the circumference , through the circle centre to to circumference on the opposite side is the Diameter. The diameter is twice the radii. Algebraically, d = 2r.
What is the circumference of a circle is always 3?
It is a false statement.
Circular motion has to be a complete circle?
Circular motion refers to any motion along the circumference of a circle, not necessarily a complete circle. It can be a partial or full revolution around the circle's center, as long as the path is curved.
A circle could be circumscribed about the quadrilateral?
false
Is the distance from the point of concurrency of the angle bisectors of a triangle to a point on the inscribed circle is the radius of the circle True or False?
false
True or false a circle is the set of all points in a plane that lie a fixed distance from a fixed point?
That's false
The shortest distance from the center of the circumscribed circle to the vertices of the inscribed triangle is the circles radius?
False apex q
The distance from the point of concurrency to the side of the circle is the radius of the circle is this statement true or false?
Neither. The statement does not specify the point of concurrency of WHAT!
Is it true or false the lateral face of a cylinder can be spread out to form a circle?
False. The lateral face of a cylinder, when spread out, forms a rectangle, not a circle. The height of the cylinder becomes one dimension of the rectangle, while the circumference of the base of the cylinder becomes the other dimension.
The shortest distance from the center of the circumscribed circle to the sides of the inscribed triangle is the circles radius?
FALSE
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.
To find the area of a circle multiply 2 times 3.14 by the radius is this true or false?
False. If you do this you will find the circumference (2 x radius x pi). Area = 3.14 times (radius squared)
