Diameter of Intersecting Lines means we have to find the diameter of the lines which are intersecting the circle. Here we are going to learn about the diameter of the intersecting lines. Basically diameter refers the length of the line from one side of the circle to the other side of the circle which passes through the center. If a line intersecting the circle through its center means we ca say that line is the diameter.
From the above diagram the line AB intersect the circle. This is passes through the center of the circle. The radius of the circle is r then the diameter of intersecting lines are d = 2r. We will see some example problems for it.
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Example 1 for diameter of intersecting lines:
A line AB is intersecting the circle through its center from the one side to another side. The circumference of the circle is 14 cm. Find the diameter of the intersecting lines.
Solution:
A line AB is intersecting the circle through its center from its one side to another side. We have to find the diameter of the intersecting lines. The diameter is d = 2r
Circumference of the circle C = 2πr
Here 2πr = 14 cm
So 2r = `14 / 3.14` = 4.45 cm
So the diameter of the intersecting lines is 4.45 cm
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Examples for Diameters of Intersecting Lines:
From the above diagram the line AB intersect the circle. This is passes through the center of the circle. The radius of the circle is r then the diameter of intersecting lines are d = 2r. We will see some example problems for it.
I like to share this cbse geography textbook for class 9 with you all through my article.
Example 1 for diameter of intersecting lines:
A line AB is intersecting the circle through its center from the one side to another side. The circumference of the circle is 14 cm. Find the diameter of the intersecting lines.
Solution:
A line AB is intersecting the circle through its center from its one side to another side. We have to find the diameter of the intersecting lines. The diameter is d = 2r
Circumference of the circle C = 2πr
Here 2πr = 14 cm
So 2r = `14 / 3.14` = 4.45 cm
So the diameter of the intersecting lines is 4.45 cm
More Examples for Diameters of Intersecting Lines:
Example 2 for diameter of intersecting lines:
A line XY is intersecting the circle through its center from the one side to another side. The area of the circle is 22 cm2. Find the diameter of the intersecting lines.
Solution:
A line XY is intersecting the circle through its center from its one side to another side. We have to find the diameter of the intersecting lines. The diameter is d = 2r
Area of the circle A = πr2
Here πr2 = 22 cm
So r2 = `22 / 3.14` = 7 cm2
Radius r = 2.645 cm
So the diameter of the intersecting lines is 2r = 5.29 cm
A line XY is intersecting the circle through its center from the one side to another side. The area of the circle is 22 cm2. Find the diameter of the intersecting lines.
Solution:
A line XY is intersecting the circle through its center from its one side to another side. We have to find the diameter of the intersecting lines. The diameter is d = 2r
Area of the circle A = πr2
Here πr2 = 22 cm
So r2 = `22 / 3.14` = 7 cm2
Radius r = 2.645 cm
So the diameter of the intersecting lines is 2r = 5.29 cm
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