Sessional_Paper_1907 — Page 1070

No. 37.

674

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MENSURATION.

CLASSES IA & B.

1. Having given the chord of an arc and the diameter of a circle, show how to find the height of the are.

The chord of an arc is 49 feet, and the chord of half the arc is 25 feet. Find the diameter of the circle.

2. In measuring the side of a square field the side is taken 2 chains too long and the calculated area is consequently 36 acres 4 square chains too large; what is the true area of the field?

3. The radius of

circle is 15 feet. Find the area of the two parts into which it is divided by a chord equal to the radius,

4. Find the volume, and the area of the curved surface, of a cone

12 inches in height and 10 inches in diameter.

5. Calculate the area of the field whose dimensions are given.

CHAINS

#

to E

21

D 9

16

13

7 F

08

10

B 4

5 G

From A

No. 38.

MENSURATION.

CLASS II.

1. A ladder 25 feet long stands upright against a wall; find how far the bottom of the ladder must be pulled out from the wall so as to lower the top 5 feet.

2. The chord of an are is 10 inches and the diameter is 26 inches. Find the chord of half the are.

3. The diameter of a carriage wheel is 28 inches; find how many revolutions the wheel makes in travelling half a mile.

4. A rectangle measures 48 feet by 28 feet; find the aren ̧ of a square which has the same perimeter as the rectangle.

5. The sides of a triangle are 13, 14 and 15 feet; find the perpendi- cular from the opposite angle on the side of 14 feet.