Question

A pie is cut into 10 equal sectors. Find the measure of the central angle of one slice of pie​

Answer 1

A pie is in a shape of a circle.

The central angle of a circle is 360°

That angle is divided into 10 parts, as there are 10 sectors

Therefore, central angle of one piece

= 360/10 = 36°

Answer 2

The central angle of one slice of pie is 36°

Step-by-step explanation:

As according to question we have a pie is cut into 10 equal sectors

As we consider the pie is circular in shape

Therefore the central angle of a circle = 360 °

Now Pie is cut into 10 equal sectors

Angle of each sector is given by

$\text {Angle of sector} = \dfrac{\text {Total central angle}}{\text {Number of sectors}} = \dfrac{360^\circ}{10 } = 36^\circ$

Hence , the central angle of one slice of pie is 36°

#Learn more

The angle between the hour and minute hand of a clock at 10:10 is

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