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The circle theorems include:
- The angle at the center is twice the angle that's at the circumference.
- The angle in a semicircle is a right angle.
- Angles in the same segment are equal.
- The opposite angles in a cyclic quadrilateral equal 180°.
It should be noted that circle theorems are simply about finding the arc lengths, angles, and areas of the sector of the circle.
Some of the theorems include the angle at the center is twice the angle that's at the circumference, the angle in a semicircle is a right angle, etc.
The circle theorem can be used in real life application by a photographer to focus his lens. The radius of the lens will be used to determine the focal length. Also, it should be noted that the aperture of the camera depends on the diameter of the lens.
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The basis of the founder's concerns over the formation of political parties is that the political factions would tear the nation apart.
<h3><u>Explanation:</u></h3>The designer of the Constitution believed that the Political Parties are a necessary evil and they can't avoid it. The Political factions may lead to the Civil War between the groups, so it was essential to design the Constitution keeping that in mind so that the evil effect of the Political Parties don’t spread.
The Constitutional framers were highly concerned about the formation of political parties which drifted England in civil wars of century. These political parties are considered as the corruption of monarchical British System in favor of democratic government.