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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 circumference of a circle with a 25ft diameter?

Use the equation

C = pi*d

Substitute

C = 3.14 * 25

C = 78.5 ft

NB This is only an approximate value, because '3.14' is only an approximate valuer for 'pi' , but convenient to use.

The other eq'n to use is

C = 2 pi r

Where 2r = d ( two radii equals one diameter ) . NB . 'radii' is the common noun plural of 'radius'. NOT 'radiuses'.

What is the ratio of the circumference of a circle to its diameter?

C = pi*d

The ratio is ALWAYS 'pi' for any circle, however, large or small.

pi is approximately 3.141592 , or 3.14, or 22/7

'pi' is an irrational number, which means the decimal digits go to infinity, AND the digits are NOT in any regular order.

To divide into two parts?

To 'section' . However, if you mean two EQUAL parts, then it is 'BISECTION'.

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.

Is a polyhedron a solid?

YES!!!

'poly' means 'many( faces'.

'Hedron' means a 3-dimensional object.

Hence polyhedron is a 'three dimensional object of many faces'.

How tall is 67 inches in feet?

67 inches = 5 feet 7 inches. = 5.583333.... ft ( Recurs to infinity).

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).

Which polygon has 6 sides?

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.