Question

The dotted line represents a:

(A) center
(B) diameter
(C) circumference
(D) chord

Answer 1

Hint: The diagram is of a circle with some characteristic features. Here, we can see a point about which the circle has been constructed, a straight line that passes through this point but is restricted inside the circle and a dotted line that is situated at the outermost boundary of the circle which completes itself after making a complete circle. We shall define these characteristic features of a circle. Only then would we be able to comment on the dotted line.


Complete step by step solution:
The first characteristic of the circle shown above is the central point about which the circle has been constructed. This point is known as the center of the circle. This is the point which is equidistant from all the points on the boundary of the circle.
The second characteristic that we can notice is the line inside the circle that passes through the center. Any line segment inside the circle is known as the chord of the circle. And any chord passing through the center of the circle is known as a diameter. Hence, the line segment represents the diameter of the circle.
The third and the last observation is of a dotted line which is at the boundary of the circle. This dotted line represents the perimeter of the circle and is known as the circumference of the circle. This is the minimum length required in order to circumscribe a circle.
Hence, the dotted line represents the circumference.
Hence, option (C) is the correct option.

Note: A circle only has one center and one circumference. But it can have an infinite number of chords and diameter. It should also be noted that all diameters in a circle are chords but all chords are not necessarily diameters. Also, diameter is that line that divides the circle and the circumference of the circle in two equal halves.