APPENDIX.

Containing Exercises for the Slate.

1. The side of a square being 12 feet, what is its area? 2. What, if the side is 12 rods, miles, &c.?

3. What is the side of a square, whose area is one square foot?

4. What, that of a square, whose area is one square yard, rod, mile, &c. ?

81,

5. What, that of a square of 4, 9, 16, 25, 36, 49, 64, 100 sqare feet?

6. What is the area of a rectangle, whose base is 50 feet 3 inches, and whose height 10 feet 4 inches?

7. What, that of a rectangle, whose base is 40 feet 3 inches, and whose height is 12 feet?

8. If the area of a rectangle is 240 square feet 19 square inches, and its basis measures 30 feet, what is its height?

9. What is the basis of a rectangle, whose height is 10 feet, and whose area is 40 square feet?

10. What is the area of a rectangle, whose basis is 4 feet, and whose height is 3 inches?

11. What is the area of a parallelogram of 10 feet basis, and 3 feet 4 inches high?

12. The height of a parallelogram is 5 feet, and the area 40 square feet: what is its basis?

13. The sum of the two parallel sides of a trapezoid is 12 feet, and their distance 3 feet 4 inches: what is the area of the trapezoid?

14. The area of a trapezoid is 24 square feet, and its height is 4 inches, 3 seconds: what is the sum of its bases?

15. What is the difference between a triangle whose basis is 10 feet 3 inches, and height 9 feet, and a triangle of 3 feet basis, and 11 inches height?

16. What is the difference between a trapezoid, the sum of the two parallel sides of which is 14 feet 3 inches, and height 9 inches, and a square upon 9 inches?

17. What is the sum of the areas of a triangle of 3 feet basis, and 9 inches height; a square upon 14 feet 3 inches, and a rectangle whose basis is 3 feet 2 inches, and height 1 foot 4 inches?

18. What is the area of a circle, whose radius is 9 inches?

19. What that of a circle, whose radius is 10 feet? 20. What that of a circle, whose radius is 9 feet 6 inches?

21. The area of a circle is 240 square feet: what is its radius or diameter ?*

22. The radius of a circle is 5 feet 8 inches: what is its circumference ?

23. What is the length of an arc of 14 degrees 29 minutes 24 seconds, in a circle whose radius is 14 inches? 24. What that of an arc of 6 degrees 9 seconds, in a circle whose radius is 1 foot?

25. What that of an arc of 9 seconds, in a circle whose radius is 1 mile?

26. What is the area of a sector of 15 degrees, in a circle whose radius is 3 feet?

27. What that of a sector of 19 degrees 45 minutes, in a circle whose radius is 1 foot 3 inches?

The teacher may now vary and multiply these questions.

* Divide the area by (see the note to page 132), and extract the square root of the quotient, the answer is the radius of the circle.