मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

In the figure, a circle with center C has m(arc AXB) = 100° then find central ∠ACB and measure m(arc AYB).

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प्रश्न

In the figure, a circle with center C has m(arc AXB) = 100° then find central ∠ACB and measure m(arc AYB).

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उत्तर


In the given figure, m(arc AXB) = ∠ACB   ...[Definition of measure of minor arc]

∴ ∠ACB = 100° 

m(arc AXB) + m(arc AYB) = 360°   ...[Measure of complete circle is 360°]

∴ 100° + m(arc AYB) = 360°

∴ m(arc AYB) = 360° – 100°

∴ m(arc AYB) = 260°

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पाठ 3: Circle - Exercise
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