
Which one of the following is an example of a concentric circle?
A. Archery target
B. Cylinder
C. Sphere
D. Ellipse
Answer
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Hint: In this question, we need to find the example of concentric circle out of the given four options. As we know, concentric circles are two or more circles having a common center point. So for determining our answer, we will draw all the given options and analyze if their circles have a common point or not.
Complete step-by-step answer:
Here, we are given four options as cylinder, sphere, ellipse and archery target. We need to find examples of concentric circles out of them. We know concentric circles are two or more circles having the same center point. So let us draw them one by one.
(I) Cylinder: A cylinder looks like this,
As we can see, a cylinder has two circles. But both circles are some height apart and hence do not have a common center point. So, cylinder is not our required answer.
(II) Sphere: A sphere is a three dimensional shape and when made on paper, it will look like a circle only. Since, no more than one circle with the same center is involved. So, the sphere is not our required shape.
(III) Ellipse: An ellipse looks like this,
As we can see, there are no circles involved in the shape of the ellipse so it cannot be an example of a concentric circle. Hence, ellipse is not our required shape.
(IV) Archery target: An archery target looks like this,
As we can see, there are a lot of circles involved in an archery target and all have the same center. So archery targets are an example of concentric circles.
Hence, option A is the correct answer.
So, the correct answer is “Option A”.
Note: In this type of questions, students should always try to draw diagrams to understand questions carefully. Students can get confused with the sphere as an answer thinking that it has infinite circles having the same point. But this is wrong because the concentric circle is a concept of two dimensional geometry and sphere is a three dimensional object. Students can also wonder as cylinders being three dimensional objects having two circles. They should note that we have just taken two circles as an example with no common center point.
Complete step-by-step answer:
Here, we are given four options as cylinder, sphere, ellipse and archery target. We need to find examples of concentric circles out of them. We know concentric circles are two or more circles having the same center point. So let us draw them one by one.
(I) Cylinder: A cylinder looks like this,
As we can see, a cylinder has two circles. But both circles are some height apart and hence do not have a common center point. So, cylinder is not our required answer.
(II) Sphere: A sphere is a three dimensional shape and when made on paper, it will look like a circle only. Since, no more than one circle with the same center is involved. So, the sphere is not our required shape.
(III) Ellipse: An ellipse looks like this,
As we can see, there are no circles involved in the shape of the ellipse so it cannot be an example of a concentric circle. Hence, ellipse is not our required shape.
(IV) Archery target: An archery target looks like this,
As we can see, there are a lot of circles involved in an archery target and all have the same center. So archery targets are an example of concentric circles.
Hence, option A is the correct answer.
So, the correct answer is “Option A”.
Note: In this type of questions, students should always try to draw diagrams to understand questions carefully. Students can get confused with the sphere as an answer thinking that it has infinite circles having the same point. But this is wrong because the concentric circle is a concept of two dimensional geometry and sphere is a three dimensional object. Students can also wonder as cylinders being three dimensional objects having two circles. They should note that we have just taken two circles as an example with no common center point.
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