Question

A circle divided into 36 equal sector, then what is the central angle of each sector.

A36 degree

B18 degree

C20 degree

D10 degree​

Answer 1

AnswEr:-

Your Answer Is D) 10 degree.

ExplanaTion:-

We know that the central measure of a whole circle is always equal to 360°.

Now the circle is divided into 36 equal sectors.

Therefore central measure of each sector would be,

$\tt\longrightarrow \cancel\dfrac{360 \degree}{36} = 10 \degree.$

And hence we can say that if a circle is divided into 36 equal parts than the central angle of each part would be equal to 10°.

Answer 2

Required answer:

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We know that:

360° is always the central angle of a Circle.

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As per the question:

Now find the central angle of each sector if the circle is divided into 36 equal sector.

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Point to remember:

Using the below method you can find the required answer easily.

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Using formula:

• ${\boxed{\tiny{\rm{\dfrac{Total \: number \: of \: sectors}{Number \: of \: sectors \: divided} = Required \: answer}}}}$

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Required step:

$\longrightarrow\rm{\dfrac{360}{36}}$

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$\longrightarrow\rm{10 \: degree}$

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Therefore, 10 degree is the central angle of each sector.