Area is simply defined as the size of a surface.Area is the quantity that expresses the extent of a two-dimensional figure or shape, in the plane.
The amount of space inside the boundary of a flat (2-dimensional) object such as a triangle or circle.
A perimeter is a path that surrounds a two-dimensional shape. The word comes from the Greek peri (around) and meter (measure). The term may be used either for the path or its length - it can be thought of as the length of the outline of a shape. Calculating the perimeter has considerable practical applications. The perimeter can be used to calculate the length of fence required to surround a yard or garden. The perimeter of a wheel (its circumference) describes how far it will roll in one revolution. Similarly, the amount of string wound around a spool is related to the spool's perimeter.
Note: "ab" means "a" multiplied by "b". "a 2 " means "a squared", which is the same as "a" times "a".
Be careful!! Units count. Use the same units for all measurements.
square:In geometry, a square is a regular quadrilateral , which means that it has four equal sides and four equal angles (90- degree angles, or right angles). Below shown figure is square where,all sides are with length of 'a'.
Area and perimeter of the square is can be calculated by using below formula
Area = a*a
Perimeter = 4a
Rectangle:It can also be defined as a rectangle in which two adjacent sides have equal length and with four equal angles (90- degree angles, or right angles). Below shown figure is rectangle where,sides are with length of 'a' and breadth 'b'.
Area and perimeter of the rectangle is can be calculated by using below formula
Area = a*b
Perimeter = 2(a+b)
parallelogram: In Euclidean geometry, a parallelogram is a (non self-intersecting) quadrilateral with two pairs of parallel
sides. 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.
Area and perimeter of the parallelogram is can be calculated by using below formula
Area =b*h
Perimeter = 2(a+b)
In Euclidean geometry, a convex quadrilateral with at least one pair of parallel sides is referred to as a trapezoid in American and Canadian English but as a trapezium in English outside North America. The parallel sides are called the bases of the trapezoid and the other two sides are called the legs or the lateral sides (if they are not parallel; otherwise there are two pairs of bases)
trapezoid = h/2 (b 1 + b 2 )
Area and perimeter of the trapezoid is can be calculated by using below formula
Area =(b1+b2)*h/2
Perimeter = 2(b1+b2)
A circle is a simple shape of Euclidean geometry that is the set of all points in a plane that are at a given distance from a given point, the centre. The distance between any of the points and the centre is called the radius. It can also be defined as the locus of a point equidistant from a fixed point.
A circle is a simple closed curve which divides 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 can be defined as the curve traced out by a point that moves so that its distance from a given point is constant.
A circle may also be defined as a special eclipse in which the two foci are coincident and the eccentricity is 0, or the two-dimensional shape enclosing the most area per unit perimeter, using calculus of variations.
Area and perimeter of the circle is can be calculated by using below formula ( pi = 3.14)
Area = pi*r*r
Circumference = 2*pi*r or pi*d
An ellipse is a curve on a plane surrounding two focal points such that a straight line drawn from one of the focal points to any point on the curve and then back to the other focal point has the same length for every point on the curve. As such, it is a generalization of a circle, which is a special type of an ellipse that has both focal points at the same location. The shape of an ellipse (how 'elongated' it is) is represented by its eccentricity, which for an ellipse can be any number from 0 (the limiting case of a circle) to arbitrarily close to but less than 1.
Area and perimeter of the ellipse is can be calculated by using below formula
Area = pi*r1*r2
Perimeter =
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted
.
perimeter of the any triangle is can be calculated by using below formula
Perimeter = a+b+c
In an equilateral triangle all sides have the same length. An equilateral triangle is also a regular polygon with all angles measuring 60°.
Area of equilateral triangle:
In an isosceles triangle, two sides are equal in length. An isosceles triangle also has two angles of the same measure; namely, the angles opposite to the two sides of the same length; this fact is the content of the isosceles triangle theoram, which was known by Euclid. Some mathematicians define an isosceles triangle to have exactly two equal sides, whereas others define an isosceles triangle as one with at least two equal sides.The latter definition would make all equilateral triangles isosceles triangles. The 45–45–90 right triangle, which appears in the tertrakis square tiling, is isosceles.
.'.Area of isosceles triangle = 1/2*(b*h)
In a scalene triangle, all sides are unequal, and equivalently all angles are unequal. An equilateral triangle has the same pattern on all 3 angles, an isosceles triangle has the same pattern on just 2 angles, and a scalene triangle has different patterns on all angles since no angles are equal.
The shape of the triangle is determined by the lengths of the sides. Therefore the area can also be derived from the lengths of the sides.
By Heron's formula:A=√s(s-a)(s-b)(s-c) ( square root for whole terms)
where 'S' equal to (a+b+c)/2 is the semiperimeter, or half of the triangle's perimeter.
A perimeter is a path that surrounds a two-dimensional shape. The word comes from the Greek peri (around) and meter (measure). The term may be used either for the path or its length - it can be thought of as the length of the outline of a shape. Calculating the perimeter has considerable practical applications. The perimeter can be used to calculate the length of fence required to surround a yard or garden. The perimeter of a wheel (its circumference) describes how far it will roll in one revolution. Similarly, the amount of string wound around a spool is related to the spool's perimeter.
Note: "ab" means "a" multiplied by "b". "a 2 " means "a squared", which is the same as "a" times "a".
Be careful!! Units count. Use the same units for all measurements.
square:In geometry, a square is a regular quadrilateral , which means that it has four equal sides and four equal angles (90- degree angles, or right angles). Below shown figure is square where,all sides are with length of 'a'.
Area = a*a
Perimeter = 4a
Rectangle:It can also be defined as a rectangle in which two adjacent sides have equal length and with four equal angles (90- degree angles, or right angles). Below shown figure is rectangle where,sides are with length of 'a' and breadth 'b'.
Area = a*b
Perimeter = 2(a+b)
Area =b*h
Perimeter = 2(a+b)
In Euclidean geometry, a convex quadrilateral with at least one pair of parallel sides is referred to as a trapezoid in American and Canadian English but as a trapezium in English outside North America. The parallel sides are called the bases of the trapezoid and the other two sides are called the legs or the lateral sides (if they are not parallel; otherwise there are two pairs of bases)
trapezoid = h/2 (b 1 + b 2 )
Area =(b1+b2)*h/2
Perimeter = 2(b1+b2)
A circle is a simple shape of Euclidean geometry that is the set of all points in a plane that are at a given distance from a given point, the centre. The distance between any of the points and the centre is called the radius. It can also be defined as the locus of a point equidistant from a fixed point.
A circle is a simple closed curve which divides 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 can be defined as the curve traced out by a point that moves so that its distance from a given point is constant.
A circle may also be defined as a special eclipse in which the two foci are coincident and the eccentricity is 0, or the two-dimensional shape enclosing the most area per unit perimeter, using calculus of variations.
Area = pi*r*r
Circumference = 2*pi*r or pi*d
An ellipse is a curve on a plane surrounding two focal points such that a straight line drawn from one of the focal points to any point on the curve and then back to the other focal point has the same length for every point on the curve. As such, it is a generalization of a circle, which is a special type of an ellipse that has both focal points at the same location. The shape of an ellipse (how 'elongated' it is) is represented by its eccentricity, which for an ellipse can be any number from 0 (the limiting case of a circle) to arbitrarily close to but less than 1.
Area = pi*r1*r2
Perimeter =
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted
. perimeter of the any triangle is can be calculated by using below formula
Perimeter = a+b+c
In an equilateral triangle all sides have the same length. An equilateral triangle is also a regular polygon with all angles measuring 60°.
Area of equilateral triangle:
In an isosceles triangle, two sides are equal in length. An isosceles triangle also has two angles of the same measure; namely, the angles opposite to the two sides of the same length; this fact is the content of the isosceles triangle theoram, which was known by Euclid. Some mathematicians define an isosceles triangle to have exactly two equal sides, whereas others define an isosceles triangle as one with at least two equal sides.The latter definition would make all equilateral triangles isosceles triangles. The 45–45–90 right triangle, which appears in the tertrakis square tiling, is isosceles.
In a scalene triangle, all sides are unequal, and equivalently all angles are unequal. An equilateral triangle has the same pattern on all 3 angles, an isosceles triangle has the same pattern on just 2 angles, and a scalene triangle has different patterns on all angles since no angles are equal.
The shape of the triangle is determined by the lengths of the sides. Therefore the area can also be derived from the lengths of the sides.
By Heron's formula:A=√s(s-a)(s-b)(s-c) ( square root for whole terms)
where 'S' equal to (a+b+c)/2 is the semiperimeter, or half of the triangle's perimeter.
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