∠XOY is a central angle in the figure above. Where x is the angle subtended by the arc and r is the radius.Ĭentral Angle: The angle whose one vertex lies on the center of the circle is a central angle. Length of an arc is given by the formula, (x/360) * 2prĪrea of a sector is given by the formula, (x/360) * pr 2 XLY and XOY are two of the sectors in the figure above. XY is an arc in the figure above.Ī sector is the area covered by two radii and the arc connecting them. The area of a circle is given by the formula,Īn arc is a part of the circumference of the circle. The value of p is approximately 22/7 or 3.14159. Since 2*radius = diameter, Circumference is also given by Where C is the circumference and r is the radius. The circumference of a circle is given by the formula, The measure of the distance around the edge of a circle is the circumference of the circle. XY is a chord of the circle.Īpparently, the diameter is the longest chord of a circle. Infinite number of chords can be drawn in a circle. Like radius, infinite number of diameters can be drawn in a circle.Ĭhord: The line segment that connects any two points on a circle is a chord. Infinite number of radii can be drawn for any circle.ĭiameter: The line segment that passes through the center and connects two points on the circle is called the diameter. OB, OA, OX, OY are the different radii of the circle in the figure above. Radius: The line segment that connects the center of the circle to any point on the circle is called radius. Here are some basics regarding circle and its properties: In this tutorial, we’ll cover the basic concepts, properties, formulas and theorems needed to solve MBA and MS entrance exams.ĭefinition: A circle is a simple closed figure in which all the points that lie on it are equidistant from a point called center. Here’s a quick refresher on the well-rounded member of the geometric family – the circle.
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