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 […]
Read More →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 […]
Read More →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 […]
Read More →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) […]
Read More →The tangent at any point of a circle is perpendicular to the radius through the point of contact. Given: A circle with center O, and a tangent XY to the circle at a point P. Prove: OP ⟂ XY Proof : Let Q be any point on XY other than P and join OQ. The […]
Read More →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 […]
Read More →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. (1) […]
Read More →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 O to the chord AB. i.e. OC ⊥ AB therefore ∠OCA and ∠OCB, Both angles are 900. To prove: AC = CB Construction: join OA and OB. Proof: In △OCA and △ OCB ∠OCA = ∠OCB […]
Read More →Surface Area of a Right Circular Cone – Definition – Formula – Example Right Circular Cone Definition: (1) The surface area of a cone is sum of area of its base and lateral(side) surface. (2) The Lateral Surface Area of a cone is area of its […]
Read More →Radius of a Circle The radius name comes from the Latin and its meaning is ray. Definition: Radius The distance from center of a circle to any point on the circle, or a line from center to any point on the circumference of a circle is known as “Radius”, of a circle. The […]
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