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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

FindFormulaExample (r = 14 cm, θ = 90°)
Circumference2πr88 cm
Area of the circleπr²616 cm²
Length of the arcθ/360 × 2πr22 cm
Area of the sectorθ/360 × πr²154 cm²
Perimeter of the sector2r + arc50 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.

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A one-page chart to stick on the wall, and a worksheet to practise.