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Areas

Product of two Linear Dimensions (proportioned to the squares of similar sides). 144 square inches = 1 square foot. 9 66 feet = 1 “ yard.

Acre = 43,560 square feet = 4480 yards = (660 66 feet).

Square mile = 640 acres. or 1. Parallelogram (square, rectangular rhomboidal) = the product of the length of one side X by perpendicular height. 2. Triangle = product of base X by one-half the perpendicular height. 3. Triangle - Area from 3 sides given. From the half sum of the three sides subtract each side separately; multiply the half sum and the three remainders together, and the square root of the product will be the area. 4. Trapezoid = the sum of the two parallel sides X by half the perpendicular height. 5. Circle = the square of the diameter × 7854, or square of the circumference X 07958. 6. Sector of a Circle = radius of the circle X by one-half the arc of the sector. 7. Segment of a Circle. Find the area of a sector of a circle having the same arc, and deduct the triangle formed between the two radii and the chord of the arc. 8. Cube.

Superficial Area of Solids. 9. Parallelopipidon. 10. Prism. }-{ Sum of area of sides and bases. 11. Cylinder circumference of base × height 1 inch = 0.08333 foot. 7 inches = 0.58333 foot. 2 inches = 0.16666 66 8 66 = 0.66666 66 3 " = 0.25000 “ 9 66 9 " = 0.75000 " 66 + area of bases. 4 " = 0.33333 66 10 " = 0.83333 " 5 “ = 0.41666 " 11. 66 = 0.91666 66 12. Cone. 6 “ = 0.50000 “ 12 “ = 1.00000 " 13. Pyramid.

Fractions of an Inch expressed in Decimals of an Inch, and in Decimals of a Foot. }-{ Circumference of bases X one-half slant height + area of base.

Sphere = square of diameter X 3.1416.

French square metre, 1550-85 square inches - 10-7698 square feet.

Dec. of an Inch. inch. Dec. of a foot. Inch.

Dec. of an inch.

Dec. of a foot. 1 16 0.0625=0.00520839 0.5625=0.0468747 16 = 0.1250 = 0.01041660-6250 = 0.0520833 30.1875=0.0156249 11 =0.68750-0572913 16 5 16 16