Areas Related to Circles

Gap-fill exercise

  
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The portion (or part) of the circular region enclosed by two radii and the corresponding arc is called a of the circle.

The portion (or part) of the circular region enclosed between a chord and the corresponding arc is called a of the circle.

When degree measure of the angle at the centre is , area of the sector = πr².

When the degree measure of the angle at the centre is , area of the sector =πr²/360.

When the degree measure of the angle at the centre is θ, area of the sector =(πr²/)× θ

of a sector of angle θ = 2πrθ/360.

of a circle= Area of the corresponding sector – Area of the corresponding triangle.

of a circle = 2 π r.

of a circle = πr².
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of sector = 2r + length of an arc.

Area of = Area of circle − Area of minor segment.

Perimeter of = length of an arc + length of corresponding chord.

Perimeter of = πr+2r.

The minor segment is the region bounded by the .

The intercepted by the chord.