Radial Survey (HSC SSCE Mathematics Standard): Flashcards

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Radial Survey
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Radial survey definition

Surveying technique to map polygon-shaped land from central point

Two key measurements in radial survey

Length of radial lines & angles between them at central point

OO in radial survey

Origin - central reference point for all measurements

Radial lines definition

Lines from central point to corners of polygon

Possible positions for origin OO

In centre, on boundary, or outside the land area

Method to calculate area from radial survey

Divide into triangles, calculate each area, then add together

Sine rule for area formula

A=12×a×b×sinCA = \frac{1}{2} \times a \times b \times \sin C

Cosine rule formula

c2=a2+b22abcosCc^2 = a^2 + b^2 - 2ab \cos C

How compass bearings are measured

Clockwise from north, marked with T

Converting bearings greater than 180°

Subtract from 360° to get angle anticlockwise from north

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