Areas Related to Circles
A bicycle wheel, the minute hand of a clock and the wiper of a bus window all move along a circle.
- How far does the wheel roll in one turn, and how much glass does the wiper clean?
- In this chapter you measure circles and rings, then arcs, sectors and segments, and then you find the area of any shaded design by adding and subtracting.
- It covers the unit of the Indian syllabus (NCERT and the board exams) and the matching topics of IGCSE, GCSE, Common Core and SAT Math.
- Python checks each formula.
Part of Mathematics · High School (9–10) (chapter 14)
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Circumference, Area and Rolling Wheels
How far does a wheel roll in one turn, and how much paint covers a round table? The circumference and the area of a circle, the ring between two circles, and wheels, turns and clock hands, with lengths in centimetres and metres in the same problem.
Arcs, Sectors and Segments
A slice of pizza is a sector, and the cap cut off by a straight knife is a segment. You find the length of an arc, the area of a sector, and the area of a minor and a major segment. The angle is given in degrees or as a fraction of the circle.