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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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