Synopsis
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1920 Excerpt: ...in this, however. There are plenty of words with more than one meaning. The distance from the center to the curve is the radius of the circle. The distance straight across the circle through the center is the diameter. In the figure, OD is a radius and AD is a diameter. The figure ABODE F placed inside the circle has F all its sides equal to the radius. Hence the distance around this figure is 6 times the radius or 3 tunes the diameter. The distance around the circle is called the circumference. ORAL WORK 1. Is the circumference of a circle more or less than 3 tunes its diameter? 2. Measure the diameter of a circular object such as a tin can and also its circumference. Divide the circumference by the diameter to find the number by which the diameter must be multiplied to get the circumference. Make a number of such measurements, using different circular objects. Then, take the average of the quotients. // the diameter of the circle is multiplied by 3-the product is very nearly its circumference. 3. If the diameter of an automobile wheel is 34 inches, what is the length of the outside of the tire? (Multiply 3 by 34.) How far will this wheel run in making one revolution? (When a wheel turns around once it is said to make a revolution.) 4. If you have an automobile in your family find how many revo lutions its wheels make in going one mile. 126. Area of Circle. From these figures we see that the interior of a circle may be cut into small pieces, each shaped nearly like a triangle. If they are cut narrow enough, we may regard them as triangles. The altitude of each triangle will then be the same as the radius of the circle, and the bases will be parts of the curve itself. The sum of the bases is the same as the circumference of the circle. So the area of all th...
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