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Draw a circle with centre O and radius If the minor sector of the circle is $72 °,$ If the minor sector of the circle is then what is its major sector?

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72 °

82 °

288 °

360 °

answer is C.

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Detailed Solution

We have been given a circle with a radius of 3.7 cm and the minor sector of the circle is

72 ° .

First, let’s draw the circle with centre O of a radius of 3.7 cm and then draw the minor sector of the angle

72 ° .

This is the required diagram as asked in the question.
Then, we have got major sector =

288 ° .

Verification:
We know that a circle has

360 ° .

The minor sector of the given circle is

72 ° .

Therefore, the major sector of the given circle is

360 ° − 72 ° = 288 ° .

Hence, the major sector of the given circle is

288 ° .

So, option (3) is correct.

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