Polar Equation of a Circle Polar form of the equation of the circle is almost similar to the parametric form of the equation of the circle. We usually write polar form of the equation of circle whose center is origin. Let’s take a point P(rcosϴ, rsinϴ) on the boundary of the circle, where r is […]

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Equation of a Circle when the Center of Circle Coincides with the Origin In this tutorial we will learn, equation of a circle when the center of circle coincides with the origin with examples. Equation of a circle with center at (h, k) and radius equal to r, is (x – h)² + (y – […]

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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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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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Right Circular Cylinder          Surface Area of a Right Circular Cylinder Definition:           Right Circular Cylinder A Right Circular Cylinder is a three dimensional object, whose base is circle and the height (axis) is the line joining the centers of bases. We take a rectangular sheet of a paper whose length […]

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