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WEEK 4

TOPIC: MENSURATION

CONTENTS:

(a) Length of arcs of circle.

(b) Perimeter of sectors and segments.

(c) Areas of sectors of a circle.

(d) Areas of segments of a circle.

DEFINITION AND MEANING, LENGTH OF ARCS OF CIRCLE

  • AN ARC: an arc of a circle is a part of the circumference of the circle.

Hence, an arc is a length or a distance along the circumference of a circle. It is never an area.

  • A SECTOR: a sector is a part or a fraction of a circle bounded by an arc and two radii.

Hence, an arc is a length whereas the sector covers an area of a circle.

  • A SEGMENT

The segment of a circle is the part cut off from the circle by a chord. A chord is the line segment AB.

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