In die diagram hieronder is O die middelpunt van sirkel CDIF - NSC Technical Mathematics - Question 8 - 2023 - Paper 2
Question 8
In die diagram hieronder is O die middelpunt van sirkel CDIF.
$JCS = 55^ ext{°}, C_H = 38^ ext{°}$ en $CD || FH$
Bepaal, met redes, die grootte van elk van die volg... show full transcript
Worked Solution & Example Answer:In die diagram hieronder is O die middelpunt van sirkel CDIF - NSC Technical Mathematics - Question 8 - 2023 - Paper 2
Step 1
8.2.1 $D_1$
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Answer
D1=55ext° (Die hoek teenoor die koord is gelyk aan die tangent aan die sirkel by die raakpunt.)
Step 2
8.2.2 $F_3$
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Answer
F3=55ext° (Alternatiewe hoeke tussen CD en FH is gelyk.)
Step 3
8.2.3 $F_1$
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F1=35ext° (Die hoeke teenoor mekaar in F is gelyk aan mekaar.)
Step 4
8.2.4 $D_FC$
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DFC=52ext° (Die som van die hoeke in die sirkel is 180ext°; DFC=180ext°−38ext°−55ext°=52ext°.)