Topic Category: ACT (Math)

Areas of Circles and Sectors Copy

Now we move on to the world of coins and pizzas. A circle’s diameter is the distance of a straight line from one point on a circle to another point on the opposite edge while passing its center. The radius (plural: radii) is half the diameter and is the basis for calculating the area of a circle.  A sector of a circle …

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Areas of Regular Polygons Copy

A regular polygon is any polygon that has all sides equal (equilateral) and all angles equal (equiangular). Some familiar examples we have seen so far are equilateral triangles and squares. As the number of sides increase to include pentagons (5-sided), hexagons (6-sided), and even decagons (10-sided), we often call them n-gons where n is the number of sides. Therefore, regular n-gons are …

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Areas of Trapezoids Copy

Whereas a parallelogram has two pairs of parallel sides, a trapezoid is a quadrilateral with only one pair of parallel sides. The formula for the area of any trapezoid is where and are the lengths of each base of the parallel pair. We can all agree that this formula is a little more complex than …

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Introduction to Area Copy

Students frequently encounter problems in calculating the area of shapes ranging from simple triangles to complicated shapes. Not many students realize, however, that they intuitively determine areas of various surfaces every day. You know right away that your iPad has a larger area than your laptop and fits in your backpack more easily. You don’t …

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Right Triangles Copy

Right triangles are one of the most special triangles of all! We would be remiss to skip over the right triangle. The name comes from the right angle, which is an angle whose measure is precisely . Therefore, a right triangle is a triangle which has one right angle. Remember, the right triangle is still …

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Introduction to Triangles Copy

Triangles are three-sided polygons that are formed from line segments joined at three vertices. A vertex (plural: vertices) refers to a corner or a point where lines meet (see Figure 1). However, one of the most important properties of triangles has to do with the three angles that define the fundamental properties of the polygon. Let’s see how …

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