Areas related to circles · वृत्तों से संबंधित क्षेत्रफल
Arcs, sectors and the clock's minute hand — a slice of a circle is a fraction of the whole.
Areas related to circles games
Sector and arc त्रिज्यखंड और चाप
| Find | Formula | Example (r = 14 cm, θ = 90°) |
|---|---|---|
| Circumference | 2πr | 88 cm |
| Area of the circle | πr² | 616 cm² |
| Length of the arc | θ/360 × 2πr | 22 cm |
| Area of the sector | θ/360 × πr² | 154 cm² |
| Perimeter of the sector | 2r + arc | 50 cm |
Minor and major: the major sector = circle − minor sector. A segment = sector − the triangle made by the two radii and the chord.
Clock hands: the minute hand turns 6° a minute, so in 15 minutes it sweeps a 90° sector. Also see parts of a circle and surface areas and volumes.
Goes with NCERT Mathematics Class 10, Chapter Areas Related to Circles. Answers worked out exactly with π = 22/7.
A one-page chart to stick on the wall, and a worksheet to practise.
Areas related to circles
Sector and arc त्रिज्यखंड और चाप
| Find | Formula | Example (r = 14 cm, θ = 90°) |
|---|---|---|
| Circumference | 2πr | 88 cm |
| Area of the circle | πr² | 616 cm² |
| Length of the arc | θ/360 × 2πr | 22 cm |
| Area of the sector | θ/360 × πr² | 154 cm² |
| Perimeter of the sector | 2r + arc | 50 cm |
Minor and major: the major sector = circle − minor sector. A segment = sector − the triangle made by the two radii and the chord.
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Areas related to circles — worksheet
Name: ____________________ Class: ______ Date: __________
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