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SBI PO Exam 2015: Quantitative Aptitude- menstruation -Concept & Sample Question (Plane Figures)

Apr 15, 2015 12:40 IST

    The banking team of jagranjosh.com has come up with concept and sample questions for Mensuration. The concept provided by us will help you to understand the topic. The sample questions offered by us are framed by keeping in view need of the question paper.

    Triangles

    A figure enclosed by three sides is known as a triangle. A triangle has three angles with total sum of 180 and sum of its any two sides is more than the third side.

    Equilateral Triangle

    It has all three sides equal.

    (i) Area =

    (ii) Height =

    (iii) Perimeter = 3a

    Where, a = side, each angle = 60

    Isosceles Triangle

    It has any two sides and two angles equal and altitude bisects the base.

    (i) Area =

    (ii) Height =

    (iii) Perimeter = a + a + b = 2a + b

    Where, a= each of two equal sides

               b= third side

    Scalene Triangle

    It has three unequal sides.

    (i) Area

    Where, and a, b and c are the sides of the triangle.

    (iii) Perimeter = a + b + c   

    Right Angled Triangle

    It is a triangle with one angle is equal to 90

    (i) Area

    (ii) Perimeter = p + b + h

    (iii) h2 = p2 + b2 (Pythagoras theorem)

    where, p =  perpendicular, b = base and h = hypotenuse

    Triangle with Height h

    This is a triangle with three unequal sides having certain height.

    (i) Area

    (ii) Perimeter = a + b + c

    Parallelogram


    It is a quadrilateral with opposite sides parallel and equal.

    (i) Area = Base × Height = b × h

    (ii) Perimeter = 2(a + b)       

    Trapezium

    It is quadrilateral with anyone pair of opposite sides parallel.

    Area (Sum of the parallel sides × Height)

    Where, a and b are parallel sides and h is the height or perpendicular distance between a and b.

    Rhombus

    It is a parallelogram with all 4 sides equal. The opposite angle in a rhombus are equal but they are not right angle.

    (i) Area

    (ii) Side

    (iii) Perimeter = 4a

    (iv)

    Where, a = side, d1 and d2 are diagonals.

    Rectangle

    • It is a parallelogram with equal opposite sides and each angle is equal to 90.

    (i) Area = Length × Breadth = l × b

    (ii) Perimeter = 2(l + b)

    (iii) Diagonal

    (iv) Area of 4 walls of rectangular room

                                  = 2 × (l + b × h)

    Where, l = length, b = breadth, h = height

    Square

    It is a parallelogram with all 4 sides equal and each angle is equal to 90.

    (i) Area

    (ii) Perimeter = 4 × side = 4a

    (iii) Diagonal

    Where, a = side, d = diagonal

    Regular Polygon

    • In regular polygons, all sides and all interior angles are equal. A polygon is called pentagon, hexagon, heptagon, octagon, nanogon and decagon according as it contains 5, 6, 7, 8, 9 and 10 sides respectively.

    If each side of a regular polygon of n sides = a

    Then,

    (i) Area of regular pentagon

    (ii) Area of regular hexagon

    (iii) Area of regular octagon

    (iv) Each exterior angle

    (v) Each interior angle = 180 – Exterior angle

    (vi) Number of diagonals

    Circles

    It is a plane figure enclosed by a line on which every point is equally distant form a fixed point (centre) inside the curve.

    (i) Area = πr2

    (ii) Circumference (perimeter) = 2πr

    (iii) Diameter = 2r

    (iv) Length of the arc

    (v) Area of sector

    where,          r = radius

    and              

    Incase of circular ring,

    (i) Area

    (ii) Difference in circumference of both the rings

    where, R = radius of bigger ring

    and      r = radius of smaller ring

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