MENSURATION
CONTENT
(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
(i) 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.
(ii) 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.
(iii) 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.
LENGTH OF ARCS OF CIRCLES
If 5 sectors are cut off from 5 different circles and the lengths of the arcs l, radii r and angles θ measured and compared.
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