Draw a Part of a Circle That Is Described

What are the Parts of a Circle

So far, we have discussed most the triangle and quadrilateral that have linear boundaries. Circumvolve is a closed figure that has a curvilinear purlieus.
What are the Parts of a Circle 1 When we retrieve of circles, the very outset thing that comes to our mind is its round shape, for instance, bangles, coins, rings, plates, chapattis, pizzas, CDs etc. Wheels of a automobile, charabanc, cycle, truck, train, and aeroplane are also round in shape. If nosotros have a stone, tie it to one end of a string and swing it in the air by holding the other end of the string, the path traced by the stone volition be a circular path and it will make a circle.

Read More:

Perimeter of A Circumvolve
Common Chord of Two Intersecting Circles
Construction of a Circle
The Area of A Circumvolve
Backdrop of Circles
Sector of A Circle
The Area of A Segment of A Circumvolve
The Expanse of A Sector of A Circle
Classification of triangles

Circle: A circumvolve is a drove of all those points in a plane that are at a given constant distance from a given fixed point in the plane.
Centre: Circle is a closed figure made up of points in a aeroplane that are at the aforementioned altitude from a fixed point, called the heart of the circle. In the figure O is the centre.

Radius: The abiding distance from its heart is called the radius of the circle. In the figure, OA is radius
Chord:A line segment joining two points on a circle is called a chord of the circle. In the figure, AB is a chord of the circle. If a chord passes through heart then it is longest chord. PQ, PR, and ST are chords of the circle. Chord ST passes through the heart, hence it is a diameter.
Diameter: A chord passing through the centre of a circumvolve is called the diameter of the circle. A circle has an space number of diameters. CD is the diameter of the circle as shown in the figure. If d is the diameter of the circle and so d = 2r. where r is the radius. or the longest chord is called diameter.
In the figure, AB is the diameter and the arcs CD and DC are semicircles.
Arc: A continuous piece of a circle is called an arc. Let A,B,C,D,East,F be the points on the circle. The circle is divided into unlike pieces. Then, the pieces AB, BC, CD, DE, EF etc. are all arcs of the circle.
Let P,Q be ii points on the circumvolve. These P, Q split the circumvolve into two parts. Each part is an arc. These arcs are denoted in anti-clockwise management
Circumference of a circle:The perimeter of a circle is called its circumference. The circumference of a circle of radius r is 2πr.
Semicircle: The bore of a circle divides the circle into 2 equal parts. Each office is chosen a semi-circumvolve. We can also say that one-half of a circle is called a semi¬circumvolve. In the effigy, AXB and AYB represents two semi-circles.
Segment: Let AB be a chord of the circle. Then, AB divides the region enclosed by the circle (i.e., the circular disc) into ii parts. Each of the parts is called a segment of the circle. The segment, containing the minor arc is called pocket-sized segment and the segment, containing the major arc, is chosen the major segment and segment of a circle is the region between an arc and chord of the circle.
Fundamental Angles: Consider a circle. The angle subtended by an arc at the middle O is called the key angle. The vertex of the central angle is ever at the centre O.
Degree measure of an arc: Caste measure of a small-scale arc is the mensurate of the cardinal angle subtended by the arc.

The caste measure of the circumference of the circle is always 360°.
Interior and Exterior of Circle
A circumvolve divides the plane on which lies into iii parts.
(i) Within the circle. which is called the interior of the circumvolve
(two) Circumvolve
(iii) Outside the circle, which is chosen the exterior of the circle.
The circle and its interior make upwards the circular region.
Sector:
A sector is that region of a round disc which lies between an arc and the two radii joining the extremities of the arc and the centre. OAB is a sector every bit shown in the figure.
Quadrant: One fourth of a circular disc is chosen a quadrant.
Position of a point:
Indicate Inside the circle: A point P, such that OP < r, is said to lie within the circle.
The point inside the circle is as well called interior point. (Example : Centre of cirle)
Signal exterior the circumvolve: A point Q, such that OQ > r, is said to lie outside the circle C (O, r) = {Ten, OX = r}
The point outside the circle is also called exterior point.
Bespeak on the circumvolve: A point Due south, such that Os = r is said to lie on the circle C(O, r) = {X ,OX = r}.
Circular Disc: It is defined every bit a set of interior points and points on the circle. In set annotation, information technology is written as : C(O, r) = {10 : P OX ≤ r}
Concentric Circles:
Circles having the same eye and different radius are said to be concentric circles.
Remark. The word 'radius' is used for a line segment joining the centre to whatever betoken on the circle and as well for its length.
Congruence of Circles & Arcs
Congruent circles: Two circles are said to be coinciding if and only if, one of them can be superposed on the other, so as the cover it exactly. Information technology means two circles are congruent if and only if, their radii are equal. i.e., C (O, r) and C (O' , r) are congruent if only if r = s.
Congruent arcs: Ii arcs of a circle are congruent, if either of them can exist superposed on the other, and then as to embrace it exactly. It is but possible, if degree measure out of ii arcs are the aforementioned.

Example 1: Accept ii points A and B on a plane sheet. Draw a circle with A as a center, Ac as radius and B in its exterior.
Solution: Marking two points A and B on a paper.
A • • B
As the bespeak B should be in the exterior of the circle, take A as the middle and radius (r) less than AB to describe a circle.
circle