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Geometry
Geometry = Math of Euclid. Geometry is the Branch of math known for shapes (polygons), 3D figures, undefined terms, theorems, axioms, explanation of the universe, and pi.
176,573 Questions
What is the mathamatical meaning of bisect?
To cut or divide into two parts., To divide into two equal parts.
Does 81326 form a right triangle?
To determine if the sides 8, 13, and 26 can form a right triangle, we can apply the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) should equal the sum of the squares of the other two sides. Here, (26^2 = 676) and (8^2 + 13^2 = 64 + 169 = 233). Since (676 \neq 233), the sides 8, 13, and 26 do not form a right triangle.
What is the area of a circle in terms of its circumference?
C = 2 pi r
A = pi r^(2)
Hence
r = C /(2 pi)
Substitute
A = pi [C / (2pi)]^(2) or
Cancel down by 'pi'
A = C^(2)/ (4pi) ' Area in terms of circumference.
How much sides does a regular polygon have?
As many as you like.
However, being 'regular' all the sides must be of the same length.
The word ' poly' means 'MANY/.
How much sides a polygon have?
As many as you like!!!!!
The prefix 'poly' means ' MANY.
3 sides ; trigon ( triangle)
4 sides; tetragon
5 sides ; pentagon
et seq.,
What shape polygon has six sides?
An HEXAGON.
A Cube is NOT a polygon, it is a polyhedron; a 3-dimensional solid of SIX faces.
What kind of polygon is a cube?
A Cube is NOT a polygon.
A cube is a polyhedron;.
A polygon is a 2-dimensional figure of many sides
A polyhedron is a 3-dimensional object of many faces.
A Cube is an ' Hexahedron' , meaning a solid figure of 6(hexa) faces.
YES!!!
'poly' means 'many( faces'.
'Hedron' means a 3-dimensional object.
Hence polyhedron is a 'three dimensional object of many faces'.
What is the slope of the line that is perpendicular to the line whose equation is 2x - y equals 7?
-5
Factor the polynomial in quadratic form 6y6 - 5y3 - 4?
Let y^(3) = x
Hence y^(6) = x^(2)
Substitute
6x^(2) - 5x - 4
Factor
( 2x + 1)(3x - 4)
Substitute back
2y^(3) + 1 & 3y^(3) - 4
What is the sum of the interior angles measure of a 13-polygon?
EXT. ANGLE = 360/13 = 27.69...
INT. Angle = 180 - 27.69... = 152.31...
SUM of interior angles - 152.31... X 13 = 1980 degrees.
What is the area of a circle that has a diameter of 9 cm?
The area of a circle is figured out using the formula
Now, the circle we are given has a radius of 9cm. So, the area of the circle would be:
Area = 3.14 x (9)2
= 3.14 x 81
= 254.34 cm2
The area of the circle in question is 254.34 cm2
A quadrilateral is a parallelogram?
You have it the wrong way around. !!!!
A parallelogram is a quadrilateral .
Other quadrilaterals are
Squares, Rectangles, Rhombus, Trapezium, Kite, and irregular.
The word 'quadrilateral' means ' four sided'. 'Quad' Four and ;lateral ; sides'.
A right angle has how many degrees?
90 degrees. From which we have the word 'rectangular' meaning 90 degree angle. (NB 'Recta' ; Right).
A polygon of 6 sides is an hexagon.
If the sides are all the same length ;regular hexagon.
If the sides are of different lengths ; irregular hexagon.
For 2-dimensional shapes, they are named polygons. ' poly' ; many and 'gon' 2- dimensional.
For 3-dimensional objects(solids) they are named 'hedrons' .
For n- sides/
3 - trigon /triangle
4 - tetragon / quadrilateral
5 - pentragon
6 - hexagon ( as above)
7 - heptagon
8 - octagon
9 - nonagon
10 = decagon
12 - dodecagon
20 - icosagon
100 - centagon
1000 - kilagon.
NB Learn your Latin.
When can you use two side lengths to find the area of a triangle?
You also need to know the angle between the two side lengths.
Then apply the equ'n.
A = 0.5 X base X Sine(angle) X adjoining side.
e.g. If you have a scalene triangle of base = 6 , an adjoining side of say 5, and an angle between then of 60 degrees.
Then The area is
A = 0.5 X 6 X 5 X Sin(60)
A = 0.5 X 6 X 5 X 0.866025....
A = 0.5 x 30 X 0.866025....
A = 15 X 0.866025....
A = 12.99038.... units^(2) .
How can you find the area of any triangle?
Algebraically it is
A = 0.5 X b X h
Area (A) = one half multiplied to the base length , then multiplied to the perpendicular height .
The perpendicular height is the distance , at right angles (90 degrees) from the base to the opposite point of the triangle.
In spherical geometry the measures of the angles in a triangle add up to 180 degrees?
When a triangle is drawn across the surface of a sphere, the sum of the internal angles can be greater than 180 degrees.
e.g. The Earth. Two meridians drawn from the North Pole at 90 degree apart, meet at the Equator. Their intersection at the Equator is also 90 degrees. Hence the three angles are all 90 degrees each , making for a total of 270 degrees for the triangle drawn on the surface of a sphere.
For triangles drawn on a 2-dimensional plain , then the sum of the internal angles is 180 degrees.
What do the wavy lines in math mean?
One wavy line (~) represents similarity. Two wavy lines (≈) means "approximately." THree wavy lines (≋) would most likely mean approximately identical to.
Is there a shape with 9999 sides?
Yes, a shape with 9999 sides is called a 9999-gon. In geometry, polygons can have any number of sides, and a 9999-gon specifically has 9999 straight edges and vertices. While such shapes are rarely encountered in practical applications, they are mathematically valid and can be studied in terms of their properties and characteristics.
