All rights reserved. A circle of any particular radius can be easily traced using a compass. The pointed leg of the compass is placed on the paper and the movable leg is revolved as shown. A circle is a special figure, and as such has parts with special names. the line AB intersects the circle at two distinct points P and Q. There are also special angles, lines, and line segments that are exclusive to circles. In the given fig AOB is a sector of a circle with O as center. In this chapter, we shall examine all of them.From the definition of radius and diameter, it is clear that all radii of a circle are equal in length and all diameters of a circle are equal in length. Given a line and a circle, it could either be touching the circle or non-touching as shown below:In the first fig. The shorter arc between $$P$$ and $$Q$$ is called the minor arc $$PQ$$. 2, points P, S and R lie on the circumference of a circle and on joining these points with center, i.e.

The traced figure gives us a circle.In the figure shown above, various points are marked lying either outside or inside the circle or on the circle. Study Guides The center of the circle below is point. Interior and Exterior of Circle A circle divides the plane on which lies into three parts. An arc is a part of the circumference between two points or a continuous piece of a circle. We call this circle “circle,” and it is labeled. and any corresponding bookmarks? from your Reading List will also remove any A circle is the set of all points in the plane that are the same distance away from a specific point, called the center. A closed plane figure, which is formed by the set of all those points which are equidistant from a fixed point in the same plane, is known as a circle. An arc is a continuous piece of the circle.The arc PAQ is known as the minor arc and arc PBQ is the major arc. The longer arc between $$P$$ and $$Q$$ is called the major arc $$PQ$$. In geometry, a circle is a closed curve formed by a set of points on a plane that are the same distance from its center O. Part of a circle bounded by a chord and an arc is known as a segment of the circle.

which is called the interior of the circle (ii) Circle (iii) Outside the circle, which is called the exterior of the circle. Parts of a circle (diagram) Semicircle definition Tangent Secant Chord Intersecting chords theorem Intersecting secant lengths theorem Intersecting secant angles theorem Area of a circle Concentric circles Annulus Area of an The circumference of a circle can be defined as the distance around it.Figure 1 given above represents a circle with radius ‘r’ and center ‘O’. Removing #book# In the given fig AOB is a sector of a circle with O as center.The figure given below illustrates the various terms related to circles as explained above.

The circle OR, OP and OS will represent the radius of the given circle.Now that we know about a point and its relative position with respect to a circle let us discuss about a line and its relative position with respect to a circle. The figure given below depicts the major and the minor segment of the circle. The line AB here is called In the second figure, the line AB touches the circle exactly at one point, P. A line touching the circle at one single point is known as the In the last figure the line does not touch the circle anywhere, therefore, it is known as a non- intersecting line.Now let us discuss about the circular region which is cut off from the rest of the circle by a secant or a chord.A part of a circumference of the circle is known as an arc. There are also special angles, lines, and line segments that are exclusive to circles. That distance is known as the radius of the circle. © 2020 Houghton Mifflin Harcourt. bookmarked pages associated with this title. A circle is a special figure, and as such has parts with special names.

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