How many semi circles are there in a circle?
A. 1
B. 2
C. 3
D. 4
Answer
646.5k+ views
Hint: To find how many semicircles are there in a circle. Let us see what a circle is. We know that a circle is a round shaped figure that has no corners or edges. Center of a circle is the center point in a circle from which all the distances to the points on the circle are equal. We call this distance as the radius. . A semi-circle is half of a circle that is formed by cutting a whole circle along a line segment passing through the center of the circle. We call this line segment as the diameter of the circle. The diameter that divides the circle into 2 equal parts.
Complete step-by-step answer:
We have to find how many semicircles are there in a circle. Let us see what a circle is.
We know that a circle is a round shaped figure that has no corners or edges. In other words, a circle is a closed two dimensional curved shape.
Now, let us consider the center and radius of a circle. Center of a circle is the center point in a circle from which all the distances to the points on the circle are equal. We call this distance as the radius. This is shown in the figure below.
In the figure above, A is the center of the circle.
In the figure below, we can see that AC is the radius.
Now, let us see what a semicircle is. A semi-circle is half of a circle that is formed by cutting a whole circle along a line segment passing through the center of the circle. We call this line segment as the diameter of the circle. The diameter is twice the radius of a circle. This is shown below.
In the above figure, we can see that AD is the diameter that divides the circle into 2 equal parts which we call semicircles.
Hence, there are 2 semicircles in a circle.
So, the correct answer is “Option B”.
Note: You can see that when a diameter is drawn in any way in the circle divides it into two equal parts. This is shown below.
Do not get confused with a quarter circle. It is a quarter of a circle, formed by splitting a circle into 4 equal parts or a semicircle into 2 equal parts.
In the above figure 1 is a quarter circle.
Complete step-by-step answer:
We have to find how many semicircles are there in a circle. Let us see what a circle is.
We know that a circle is a round shaped figure that has no corners or edges. In other words, a circle is a closed two dimensional curved shape.
Now, let us consider the center and radius of a circle. Center of a circle is the center point in a circle from which all the distances to the points on the circle are equal. We call this distance as the radius. This is shown in the figure below.
In the figure above, A is the center of the circle.
In the figure below, we can see that AC is the radius.
Now, let us see what a semicircle is. A semi-circle is half of a circle that is formed by cutting a whole circle along a line segment passing through the center of the circle. We call this line segment as the diameter of the circle. The diameter is twice the radius of a circle. This is shown below.
In the above figure, we can see that AD is the diameter that divides the circle into 2 equal parts which we call semicircles.
Hence, there are 2 semicircles in a circle.
So, the correct answer is “Option B”.
Note: You can see that when a diameter is drawn in any way in the circle divides it into two equal parts. This is shown below.
Do not get confused with a quarter circle. It is a quarter of a circle, formed by splitting a circle into 4 equal parts or a semicircle into 2 equal parts.
In the above figure 1 is a quarter circle.
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