If the angle of a minor sector of a circle is 120- then the major sector will have an angle of -

Angle made by a circle = 360^∘ Minor sector angle = 120^∘ Therefore, major sector angle = 360 120 =240^∘ ...

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Standard V

Mathematics

Major Sector and Minor Sector

If the angle ...

Question

If the angle of a minor sector of a circle is $120^{\circ}$ , then the major sector will have an angle of ____.

$180^{\circ}$

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$120^{\circ}$

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$60^{\circ}$

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$240^{\circ}$

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Solution

The correct option is D
$240^{\circ}$

Angle made by a circle $= 360^{\circ}$
Minor sector angle $= 120^{\circ}$
Therefore, major sector angle $= 360 - 120 = 240^{\circ}$

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If the angle of a minor sector of a circle is 120∘, then the major sector will have an angle of ____.

The correct option is D 240∘ Angle made by a circle =360∘ Minor sector angle =120∘ Therefore, major sector angle =360−120=240∘

If the angle of a minor sector of a circle is $120^{\circ}$ , then the major sector will have an angle of ____.

The correct option is D
$240^{\circ}$

Angle made by a circle $= 360^{\circ}$
Minor sector angle $= 120^{\circ}$
Therefore, major sector angle $= 360 - 120 = 240^{\circ}$