Arithmatical - Area
1. | Area of a rectangle = (Length × Breadth). |
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2. | Perimeter of a rectangle = 2(Length + Breadth). |
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3. | Area of a square = (side)^{2} = 1 / 2 (diagonal)^{2} |
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4. | Area of 4 walls of a room = 2 (Length + Breadth) × Height. |
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5. | Area of a triangle = 1 / 2 × Base × Height. I). Area of a triangle = √s(s-a)(s-b)(s-c) where a, b, c are the sides of the triangle and s = 1/ 2 (a + b + c) II). Area of parallelogram = (Base x Height). Area of a rhombus = 1 / 2 (Product of diagonals). III). Area of a trapezium =1 / 2 (sum of parallel sides) x distance between them. Iv). Area of a circle = ΠR^{2}, where R is the radius. |
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6. | Circumference of a circle = 2ΠR. I). Circumference of a semi-circle = ΠR. II). Area of semi-circle = ΠR^{2} / 2. |
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FUNDAMENTAL CONCEPTS |
1. | Results on Triangles : 1. Sum of the angles of a triangle is 180°. 2. The sum of any two sides of a triangle is greater than the third side. 3. Pythagoras Theorem : In a right-angled triangle, (Hypotenuse)^{2}=(Base)^{2} + (Height)^{2} 4. The line joining the mid-point of a side of a triangle to the positive vertex is called the median. |
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