Two arcs APB and CQD of a circle are in the ratio 5 :7. The angle subtended by arc CQD at the centre is ___ degrees

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Solution

arc APB : arc CQD = 5:7

$∴$ The angle subtended by arc CQD at the centre is $\frac{7}{12} \times 360^{o} = 210^{o}$

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Two arcs APB and CQD of a circle are in the ratio 5 :7. The angle subtended by arc CQD at the centre is ___ degrees

arc APB : arc CQD = 5:7 ∴ The angle subtended by arc CQD at the centre is 712 × 360o = 210o

arc APB : arc CQD = 5:7

$∴$ The angle subtended by arc CQD at the centre is $\frac{7}{12} \times 360^{o} = 210^{o}$