Volume of Right Circular Cone                          In figure A is called vertex, AO is height,  OC is radius, and AC is slant height of cone. The height, radius, and slant height of the cone are usually denoted by h, r and l respectively. Volume of Right Circular Cone V = 1/3𝜋r2h […]

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 Congruent Figures In our daily life we see many congruent objects like as,  (i) Two 2 Rupees, 5 Rupees, or 10 Rupees coins. (ii) Two text books of mathematics of same class.  Two figures or objects are called congruent, when one object cover the other completely and exactly. This means that two books or coins […]

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Geometry practice on circle Here, we will practiced and discussed the questions on circle. Fill in the blanks. (1) The common point of a tangent and the circle is called …….. (2) A circle may have …….. parallel tangents. (3) A tangent to a circle intersects it in …….. point. (4) A line intersecting a […]

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Arc – Geometry  In mathematics the word arc also used for some other curved shapes like an ellipse but mostly used for a circle. Definition:                    An arc is a portion of the circumference of a circle. It is also known as circular arc. In above figure AB […]

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We use many objects in our daily life, which are round in shape, such as wheels of a vehicle, sun, moon, a dinner plate, button of shirts etc. These are real examples of a circle. Let’s study about circle and it’s parts. Definition:    1. Circle           A circle is a collection of […]

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 Problems and Solutions Percentage wise distribution of players who play four different games are given in below pie graph and total number of players are 1200. Example1: What is the total number of players who play cricket and rugby? Solution: Total number of players are 1200, Percentage of players who play cricket = 12% Percentage of players who play rugby […]

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Theorem The perpendicular from the center of a circle to a chord bisects the chord. Given: A circle with center O, AB is chord of a circle and OC perpendicular from the center to the chord  AB. i.e.    OC ⊥ AB  therefore  ∠OCA and ∠OCB Both angles are 900.   To prove: AC = CB (C is the mid point of chord AB)    […]

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Pie Graph or Pie Chart – Definition and Examples   Pie Graph (Pie Chart) Definition:  A “pie graph or (pie chart)” is a circular chart divided into sectors, each sector represents a proportionate part of a whole. A pie graph is used to compare parts of a whole. The circle represent the whole. Sector: In a pie graph, the […]

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Circle – Area – Formula and Problems with Solutions  Area of a circle is A = 𝝿r2 = 𝝿 (pi) x (radius)2 , where r is radius of the circle. or when we know the diameter A = (𝝿/4) x D2 when we know circumference A = c2/4𝝿 Let us now solve problems on area of a circle. Here […]

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