In the figure, O is the centre of the circle, mAOB = 28˚ and mCOD = 58˚.
Find:
1. m (arc CYD)
2. m (arc AMB)
3. m (arc ADC)
4. m (arc BC)
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Answer:
Given radius=28 cm, θ=45∘
Area of minor segment = Area of sector OAB - Area of ΔOAB
Area of sector OAB = 360πr2×θ=(722×3601×(28)2×45)cm2=308cm2
Area of ΔOAB=21×OA×OB×sin45∘[∵AreaofΔABC=21AB×AC×sinA]
=21×28×28×21cm2=14×14×2cm2
=196×1.414cm2=277.144cm2
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