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Mensuration-Maths Project Work

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Page 1: Mensuration-Maths Project Work
Page 2: Mensuration-Maths Project Work

RectangleFigure :-

Perimeter :- 2(l+b)

Area :- lxb

Description :- In Euclidean plane geometry, a rectangle is any quadrilateral with four right angles. The term "oblong" is occasionally used to refer to a non-square rectangle. A rectangle with vertices ABCD would be denoted as   ABCD.A so-called crossed rectangle is a crossed (self-intersecting) quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals. Its angles are not right angles. Other geometries, such as spherical, elliptic, and hyperbolic, have so-called rectangles with opposite sides equal in length and equal angles that are not right angles.Rectangles are involved in many tiling problems, such as tiling the plane by rectangles or tiling a rectangle by polygons.

Page 3: Mensuration-Maths Project Work

SquareFigure :-

Perimeter :- 4xside

Area :- sidexside

Description :- In geometry, a square is a regular quadrilateral. This means that it has four equal sides and four equal angles (90-degree angles, or right angles). The perimeter of a square whose sides have length t is

P = 4tand the area is

A = t2In classical times, the second power was described in terms of the area of a square, as in the above formula. This led to the use of the term square to mean raising to the second power.

Page 4: Mensuration-Maths Project Work

TriangleFigure :- 1) Equilateral Triangle

2) Isosceles Triangle

3) Scalene Triangle :-

Perimeter :- 1st side + 2nd side + 3rd side

Area :- ½ x bxh

Description :- A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted   ABC.In Euclidean geometry any three non-collinear points determine a unique triangle and a unique plane.

Page 5: Mensuration-Maths Project Work

Parallelogram Figure :-

Perimeter :- Sum of all the sides

Area :- bxh

Description :- In geometry, a parallelogram is a quadrilateral with two pairs of parallel sides. In Euclidean Geometry, the opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean Parallel Postulate and neither condition can be proven without appealing to the Euclidean Parallel Postulate or one of its equivalent formulations. The three-dimensional counterpart of a parallelogram is a parallelepiped.

Page 6: Mensuration-Maths Project Work

Circle

Figure :-

Perimeter :- 2πr

Area :- πr2

Description :- A circle is a simple shape of Euclidean geometry consisting of the set of points in a plane that are a given distance from a given point, thecentre. The distance between any of the points and the centre is called the radius.Circles are simple closed curves which divide the plane into two regions: an interior and an exterior. In everyday use, the term "circle" may be used interchangeably to refer to either the boundary of the figure, or to the whole figure including its interior; in strict technical usage, the circle is the former and the latter is called a disk.A circle is a special ellipse in which the two foci are coincident and the eccentricity is 0. Circles are conic sections attained when a right circular cone is intersected by a plane perpendicular to the axis of the cone.

Page 7: Mensuration-Maths Project Work

Hexagon Figure :-

Perimeter :- 6xsides

Area :- P=perimeter s=sides h=altitude (distance from the center to a side at a right angle) A=1/2aPor A=1/2(6s x a)

Description :- In geometry, a hexagon (from Greek ἕξ hex, 'six') is a polygon with six edges and six vertices. A regular hexagon has Schläfli symbol{6}. The total of the internal angles of any hexagon is 720 degrees.

Page 8: Mensuration-Maths Project Work

Pentagon

Figure :-

Perimeter :- 5xside

Area :- s2 x 1.72

Description :- In geometry, a pentagon (from pente, which is Greek for the number 5) is any five-sided polygon. A pentagon may be simple or self-intersecting. The sum of the internal angles in a simple pentagon is 540° . In a regular pentagon, all sides are equal in length and each interior angle is 108°. It has five lines of reflectional symmetry, and rotational symmetry of order 5 (through 72°, 144°, 216° and 288°). Its Schläfli symbol is . The chords of a regular pentagon are in golden ratio to its sides.

Page 9: Mensuration-Maths Project Work

Octagon Figure :-

Perimeter :- 8xside

Area:- S2-a2

Description :- In geometry, an octagon (from the Greek okto, eight) is a polygon that has eight sides. A regular octagon is represented by the Schläfli symbol {8}.A regular octagon is a closed figure with sides of the same length and internal angles of the same size. It has eight lines of reflective symmetry and rotational symmetry of order 8. The internal angle at each vertex of a regular octagon is 135° and the sum of all the internal angles is 1080° (as for any octagon).

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