A pie slice is an example of
E. Radius
F.Chord
G. Sector
H.Segment
Answer
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Hint: Pie slice is the represent the cutout of a circular curve with radius $r$ and angle $\theta $ at
the centre as shown in the figure below.
Complete step-by-step answer:
Here we have to check whether each of the given option follows the characteristics of the pie
slice or not.
Radius of a circle is the distance between the centre to any point on the curve. Length of the radius for a circle is always the same. Thus the pie slice is not an example of radius.
Thus, option A is incorrect.
Chord is the straight line connecting any two points on the circle. In a circle diameter represent
the longest curve. Since pie slice is doesn’t follow the properties of chord, so pie slice is not an
example of chord.
Thus, option B is incorrect.
Sector is a slice of a circle formed by two radii forming an angle in the centre. It is also known as
the pizza slice. Example of a sector is Pie slice since it follows all the properties of a sector.
Thus, option C is correct.
Segment of a circle is the cut from the circle by a chord. It is a slice with triangular portion
cutout from a circle like the crust portion of a pizza slice.
Thus, option D is incorrect.
Note: Pie slice represent a sector of a circle since it formed by two radius forming an angle in the
center. By comparing the characteristics of each of the given options, we get the required answer.
the centre as shown in the figure below.
Complete step-by-step answer:
Here we have to check whether each of the given option follows the characteristics of the pie
slice or not.
Radius of a circle is the distance between the centre to any point on the curve. Length of the radius for a circle is always the same. Thus the pie slice is not an example of radius.
Thus, option A is incorrect.
Chord is the straight line connecting any two points on the circle. In a circle diameter represent
the longest curve. Since pie slice is doesn’t follow the properties of chord, so pie slice is not an
example of chord.
Thus, option B is incorrect.
Sector is a slice of a circle formed by two radii forming an angle in the centre. It is also known as
the pizza slice. Example of a sector is Pie slice since it follows all the properties of a sector.
Thus, option C is correct.
Segment of a circle is the cut from the circle by a chord. It is a slice with triangular portion
cutout from a circle like the crust portion of a pizza slice.
Thus, option D is incorrect.
Note: Pie slice represent a sector of a circle since it formed by two radius forming an angle in the
center. By comparing the characteristics of each of the given options, we get the required answer.
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