How do we find the area of sectors and other parts of a circle?
Sector of a circle
- a sector of a circle is the region between the radii and the arc of a sector
To find the area of a sector : # of degrees /360 x (pi) r^2
Ex:
Segment of a circle
- a segment of a circle is the region between a chord and arc of circle
To find the area of the segment of a circle : # of degrees/360 x (pi)r^ - 1/2bh
Ex:
Annulus
- an annulus is the region between two concentric circles
To find the area of the annulus : (pi)R^2- (pi)r1
Ex:
Practice question : If radius 1 is 12 and radius 2 is 6, What is the area of the annulus?
Citations
- Problem solving , http://www.p12.nysed.gov/ciai/mst/math/sampletasks/Math6Sample.htm
- Chord and segment of a circle, http://www.winpossible.com/lessons/Chord_and_Segment_Of_A_Circle.aspx, 2011
- Annulus calculator , http://www.calculatorsoup.com/calculators/geometry-plane/annulus.php
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