You might have never noticed that you are surrounded by geometrical shapes. Bangles, coins, cupcakes, dials of the watches you wear, caps of various bottles are all in the shape of a circle. The round that you randomly make on paper with a pen, or a pencil is defined as a circle. Circles are basically closed figures in geometry. There are various parts of a circle that are important they are – radius, diameter, circumference, center, arc, segment & tangent.
We are going to discuss what a circle is & what a tangent is.
What is a Tangent?
A tangent to any given circle is a line that intersects a circle at a specific point. The point at which the tangent intersects the circle is referred to as the point of tangency. The tangent is said to be perpendicular to the circle’s radius, with which it meets. Tangent may be used to any curved form. Tangent has an equation since it is a line.
What is the Diameter of the Circle?
In any given circle, the diameter is equivalent to twice times the size of the circle’s radius. In other words, if the length of radius of any given circle is 5, then the diameter of the circle will be equal to 10. The radius is just the distance from the center of the circle to its opposite endpoint, but the diameter is the distance from 1 given end of the circle to some other point that lies on the other endpoint of the circle, passing through the center.
The letter ‘d’ or ‘D’ represents the circle’s diameter. Here on the circumference of a specified circle, there are also many infinite or countless points. This indicates that a circle can have multiple diameters, each of which measures the same length.
Formula to Calculate Diameter
We have already discussed what the diameter of a circle is. Let’s discuss the formula to calculate the diameter of a circle. Diameter of a circle can be denoted as twice the length of the radius of any given circle.
Therefore, the diameter = 2* Radius
Formula to Calculate Radius of a Circle
We can easily derive the formula from the diameter formula, the radius of a circle is the diameter divided by 2.
Radius of circle = Diameter of circle/2
Solved Examples on Circle
Example 1: The radius of a coin is 10 cm. What is the diameter of the circle?
Solution: Let’s note down the information given in the question,
Radius of the coin is equal to 10cm, now we know the formula to calculate the diameter of a circle.
Diameter = 2* radius
Therefore, the diameter = 2*10 cm which is equal to 20cm
Example 2: The diameter of a bangle is 4 cm. What will be the radius of the bangle?
Solution: Let’s note down the information given in the question,
Diameter of the bangle is equal to 4 cm, now we know the formula to calculate the radius of a circle.
Diameter = 2* radius & Radius = Diameter/2
Therefore, the radius is equal to 4/2 = 2 cm
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