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 […]
Read More →Definition, Properties, Examples – Cyclic Quadrilaterals What is a Cyclic Quadrilateral A cyclic quadrilateral is a four sided polygon that is inscribed in a circle. The vertices are said concyclic. The center of the circle is called circumcenter and radius of the circle is called circumradius. Definition: A Cyclic Quadrilateral is a quadrilateral, whose all four vertices […]
Read More →If the angles subtended by chords of a circle at the center are equal, then the chords are equal. Given: A circle with center O, AB and CD are chords of circle that subtend equal angles at center O. i,e. ∠AOB = ∠COD. To prove: chord AB = chord CD Proof: In △AOB and △ CODOA = OC (Radius of circle)∠AOB […]
Read More →Equal chords of a circle subtend equal angles at the center. Given: Two equal chords AB and CD of a circle with center O. i,e. AB = CD. To prove: ∠AOB = ∠COD Proof: In △AOB and △ COD OA = OC (Radius of circle)OB = OD (Radius of circle)AB = CD (Given) Hence, △AOB ≅ △ COD (SSS Congruence rule) ∴ ∠AOB […]
Read More →Mathwords A to Z With Meanings There are many types of dictionaries. English-Dictionary Graph-Dictionary etc, Graph-Dictionary contains all types of graphs English-Dictionary is common dictionary. In math-Dictionary we can find list of more than 2100 mathematical words and their meanings. Dictionary is a book in which we can see the meaning of each and every word. […]
Read More →Common Geometry Symbols Geometry Symbol Symbol Symbol Name (1) ∠ Angle (2) ∟ Right angle (3) ∡ […]
Read More →Tangent of a Circle Definition & Example In this lesson we will learn about tangent of a circle, before understanding the concept of a circle, let us know about circle. Circle Definition: A circle is a collection of all the points in a plane, whose all points are same distance from a fix point, is called “Circle”. […]
Read More →The angle at the centre of a circle is twice the angle at the circumference, when both are subtended by the same arc. Given: A circle with centre at O, arc BC of this circle subtends angles ∠BOC at centre O and ∠BAC at a point A remaining part of the circle. To Proof: ∠BOC […]
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