RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions covers the following topics: State of a point following a circle. It also covers the topics like Circular Disc, Arc of Circle, Arc length, Central Angle, Minor Arc, Major Arc, Degree measures of an arch, Chord, and the segment of a circle. Apart from these, it also covers the subtopics like Diameter, semi-circle, segments of a circle, and an alternate segment of a circle.
This section, which is chapter 16, addresses the key definitions, like the arc of a circle, chords of a circle, segments of a circle, and the congruence of circles. It provides outcomes on symmetrical chords, arcs, and the angles formed by them, including cyclic quadrilateral. RD Sharma Solutions can be useful for students to exercise problems that are answered by our experts.
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Important definitions RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions
Go down and know the definitions of the topics and subtopics related to the
In the following points, we have mentioned the RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions.
Position of a Point concerning a Circle
The position of a point concerning a circle can be determined upon measuring the distance between the concerned point and the circle’s center, which can then be compared with the radius. For example, if the distance is more than the radius, the point lies exterior to the circle.
A circular disc is a geometrical term primarily an area in the plane surrounded by a circle. If the circle forms its boundary, then it is called a closed disc. Otherwise, it’s an open disc.
Concentric circles are basically those multiple circles with one common center. The area between two concentric circles, irrespective of their radius, is known as the annulus.
Arc of a Circle
An arc of the circle can be any section of a circle’s circumference. One can understand the circumference of the circle as the complete arc of the concerned circle itself.
Length of an Arc
The length of an arc is the extent (distance) through the arc, which can be integral to the circle circumference or of the curve.
A central angle is an angle, which has its endpoints, which are positioned on the circumference of a circle, and the vertex of which is situated at the center of the circle.
Minor arcs are the arcs smaller in comparison to a semicircle. The central angle formed by the minor arc often remains under 180 degrees.
Major arcs are the arcs bigger in comparison to a semicircle. The central angle formed by the minor arc is above 180 degrees.
The degree measure of an arc
The degree measure of an arc is related to the circle, which is the same as measuring the central angle intercepting the arc.
Chord and segment of a circle
A segment of a circle is basically the region surrounded by a chord and the corresponding arc between the endpoints of the chord.
Question-Related to RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions
Ques 1: Fill in the blanks:
(a) All points lying outside/ inside a circle are known as ______ points/_______ points.
(b) Circles having the same center and various radii are known _____ circles.
(c) A continuous part of a circle is _______ of the circle.
(a) Exterior/ Interior
Ques 2: Write the truth value (True/ False) of the following:
(i) A circle is a plane figure- True
(ii) Line segment merging the center to any point on the circle is a radius of the circle- True
(iii) If a circle is divided into three equivalent arcs, each is a major arc- True
(iv) A circle has only a finite number of equal chords- False
(v) A chord of a circle that is twice as long as its radius is the diameter of the circle- True
(vii) The degree measure of an arc is the complement of the central angle containing the arc- False
(viii) The degree measure of a semi-circle is 1800- False
Benefits of RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions
Through RD Sharma Solutions, class 9th students will be able to address the exercises’ problems in a much quicker fashion. Moreover, along with the answers, the solutions here provide analytic insight as well.
Moreover, with RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions, learners can solve the questions mentioned in the exercise in a shorter duration, with a clear idea of the circles. These solutions can be the best ways for the students to prepare during a short while.