Diagram Labeled With a Small Circle Draw Through It

Many objects that nosotros come across in our daily life are 'round' in shape such as a money, bangles, canteen caps, the Globe, wheels etc. In layman terms, the round shape is often referred to as a circle. A closed plane effigy, 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. In other words, a circle can be described as the locus of a point moving in a airplane, in such a way that its distance from a fixed point is e'er constant. The fixed betoken is called the centre of the circle and the constant altitude betwixt whatever bespeak on the circumvolve and its center is called the radius.

Figure 1: Centre and Radius of circumvolve figure

Names of parts of a circumvolve

A circle tin have different parts and based on the position and shape, these can be named as follows:

• Centre
• Radius
• Diameter
• Circumference
• Tangent
• Secant
• Chord
• Arc
• Segment
• Sector

As nosotros have already discussed the heart and radius of a circumvolve. And the diameter is equal to the twice the radius. Allow us encounter the other parts of a circle in detail.

Circumference of Circle

The circumference of a circle tin exist divers as the distance around information technology. This tin be understood with the aid of an example. Suppose a wire of length ten cm is aptitude so that it forms a circle. Here, the circumference is equal to the length of the wire, i.eastward. 10 cm.

How to draw a circle?

Figure 1 given to a higher place, represents a circumvolve with radius 'r' and heart 'O'. A circle of any particular radius tin exist easily traced using a compass. The pointed leg of the compass is placed on the paper and the movable leg is revolved as shown. The traced effigy gives u.s. a circle.

Position of Points of a circle

In the below figure, various points are marked lying either outside or inside the circle or on the circumvolve. Based on this any point can be defined as:

1. Exterior Point: Points lying in the aeroplane of the circle such that its distance from its middle is greater than the radius of the circumvolve are outside points. A bespeak Ten is exterior point westward.r.t to circle with centre 'O' if OX > r. In fig. 2 A, D, Grand and B are exterior points.
2. Interior Points: Betoken lying in the plane of the circle such that its altitude from its centre is less than the radius of the circle is known every bit the interior point. A point Ten is interior-point w.r.t to circumvolve with eye 'O' if OX < r. In fig. two C, F, and E  are interior points.
3. Points on the circumference of a circle: Points lying in the plane of the circumvolve such that its altitude from its centre is equal to the radius of a circumvolve. In simple words, a set of points lying on the circumvolve are points on the circumference of a circle.

A point X is said to lie on the circumference of a circle with centre 'O' if OX = r

In fig. 2, points P, Southward and R lie on the circumference of a circle and on joining these points with the heart, i.e. OR, OP and Os will represent the radius of the given circle.

Now that you have learned about a point and its relative position with respect to a circumvolve; allow's understand a line and its relative position with respect to a circle. Given a line and a circumvolve, it could either be touching the circle or non-touching equally shown below:

Secant

In the first fig. the line AB intersects the circumvolve at two distinct points P and Q. The line AB here is chosen secant of the circle. The line segment PQ is known every bit the chord of the circle as its endpoints lie on the circumference of the circle. A chord passing through a centre of the circumvolve is known as the bore of the circle and information technology is the largest chord of the circle.

Tangent

In the second figure, the line AB touches the circumvolve exactly at one indicate, P. A line touching the circle at one single point is known as the tangent to the circumvolve.

In the last figure, the line does not affect the circle anywhere, therefore, it is known as a non- intersecting line.

Chord

A line segment joining ii dissimilar points on the circumference of a circle is called a chord of the circle. A circle tin can have whatever number of chords. Bore is the largest chord of a circle.

Arc of a circle

A part of a circumference of the circumvolve is known as an arc. An arc is a continuous piece of the circle.

The arc PAQ is known every bit the minor arc and arc PBQ is the major arc.

Now get through the circular region which is cutting off from the rest of the circumvolve past a secant or a chord.

Segment

Part of a circumvolve bounded by a chord and an arc is known as a segment of the circle. The figure given beneath depicts the major and minor segments of the circle.

Sector

A sector of a circumvolve is the function bounded past two radii and an arc of a circle. In the below-given fig. AOB is a sector of a circle with O as eye.

Parts of a circumvolve diagram

The figure given below illustrates the various terms related to parts of a circle as explained in a higher place.

To learn more most circles, circumference of circle and problems on circles, yous can visit us at byjus.com and download BYJU'S- The Learning App.

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Source: https://byjus.com/maths/parts-circle/