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Find the Area of the Shaded Region of a Circle: Clear Examples

To find the area of the shaded region of a circle, we need to know the type of area that is shaded. The general rule to find the shaded area of any shape would be to subtract the area of the more significant portion from the area of the smaller portion of the given geometrical […]

Triangle Proportionality Theorem – Explanation and Examples

The triangle proportionality theorem states that if we draw a line parallel to one side of a triangle so that it intersects the remaining two sides, then both sides are divided in the same proportion or divided equally. The triangle proportionality theorem is also known as the side-splitting theorem as it splits both sides into […]

Hinge Theorem – In-Depth Explanation and Detailed Examples

Hinge theorem states that if two sides of a set of two given triangles are congruent, the triangle with a greater internal angle will have the longer third/remaining side.  Consider an example of a crane with a beam that can move at different angles. Now, suppose two cranes are equal in length, and the length […]

Perpendicular Bisector Theorem – Explanation and Examples

The perpendicular bisector theorem states that if a point lies on the perpendicular bisector of a line segment, it will be at an equal distance/equidistant from both endpoints of that line segment. What Is Perpendicular Bisector Theorem? The perpendicular bisector theorem is a theorem stating that if we take any point on the perpendicular bisector […]

2pir – Comprehensive Explanation and Detailed Examples

2pir is the circumference of a circle. The circumference (or the perimeter) of a circle is the total length of the circle’s boundary. The circumference is a linear measure, and its units are mostly given as centimeters, meters or inches. A circle is a closed round figure, and all the points on the circle’s boundary […]