Two arcs APB and AQB of a circle are in the ratio 17 :7. The angle subtended by arc CQD at the centre is _____.

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Solution

arc APB : arc CQD = 17:7

$∴$ The angle subtended by arc CQD at the centre is $\frac{7}{24} \times 360^{o} = 105^{o}$ (1 mark)

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Two arcs APB and AQB of a circle are in the ratio 17 :7. The angle subtended by arc CQD at the centre is _____.

arc APB : arc CQD = 17:7 ∴ The angle subtended by arc CQD at the centre is 724 × 360o = 105o (1 mark)

arc APB : arc CQD = 17:7

$∴$ The angle subtended by arc CQD at the centre is $\frac{7}{24} \times 360^{o} = 105^{o}$ (1 mark)