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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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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The line drawn through the center of a circle to bisect a chord is perpendicular to the chord. Given:  A circle with center O, AB is chord of a circle and OC bisect chord at C. i,e. AC = CB. To prove: OC ⊥ AB Construction: join OA and OB.  Proof:  In △ OCA and △ OCB OA = OB (Radius […]

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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 […]

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