Circles — Chapter Summary
NIOS · Class 10 · Maths
Summary of Circles for NIOS Class 10 Maths. Key concepts: A circle is formed by all, A chord is a line segment and An arc is a continuous part.
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Overview
A circle is the set of all points in a plane that are equidistant from a fixed point called the centre. The fixed distance from the centre is the radius. This chapter also covers chords, diameter, arcs, semicircles, sectors, segments, circumference, concentric circles, congruent circles, and the mai
Key Concepts
A circle is formed by all
A circle is formed by all points at the same distance from the centre. That distance is the radius. All radii of a circle are equal in length.
A chord is a line segment
A chord is a line segment joining any two points on a circle. A diameter is a chord passing through the centre. It is the longest chord and satisfies
An arc is a continuous part
An arc is a continuous part of a circle between two points on the circle. A minor arc is smaller than a semicircle, a major arc is larger than a semic
A sector is the region enclosed
A sector is the region enclosed by two radii and the arc between them. A segment is the region enclosed by a chord and the arc cut off by the chord.
Circumference is the total length
Circumference is the total length of the circle. It is given by C = 2\pi r, and the ratio C/d is constant and equals \pi. The approximate value of \pi
Learning Objectives
- Identify and define the main parts of a circle
- Distinguish between chord, diameter, arc, sector, and segment
- Use the relations d = 2r and C = 2\pi r
- Understand minor arc, major arc, semicircle, and their degree measures
- Explain concentric circles and congruent circles
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