In die diagram is O die middelpunt van die sirkel - NSC Mathematics - Question 8 - 2022 - Paper 2
Question 8
In die diagram is O die middelpunt van die sirkel. MNPR is 'n koordevihoek en SN is 'n middellyn van die sirkel. Koord MS en radius OR is getrek. M_2 = 64°.
Bepaal,... show full transcript
Worked Solution & Example Answer:In die diagram is O die middelpunt van die sirkel - NSC Mathematics - Question 8 - 2022 - Paper 2
Step 1
8.1.1 Ĥ
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Answer
Die hoek Ĥ is die teenoorstaande hoek van die sirkelkwadrant met die hoeke in die cykel. Volgens die eienskappe van 'n sirkelkwadrant is Ĥ = 116°.
Step 2
8.1.2 M̅
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Answer
In 'n halwe sirkel is die hoek aan die rand gelyk aan die halwe van die middelpunt hoek. Dus, M̅ = 64° + 90° = 26°.
Step 3
8.1.3 Ō
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Ō is die hoek wat aan die sentrum van die sirkel gevorm word deur twee strale. Volgens die eienskappe van die sirkel en die twee omtrek hoeke, het ons Ō = 2 imes 26° = 52°.
Step 4
8.1.4 Ĥ
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Answer
Die waarde van Ĥ, wat ons reeds bepaal het, is dus weer 116°.
