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" Given that the area of a circle varies as the square of its radius... "
Complete School Algebra - Page 472
by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1919 - 507 pages
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A High School Algebra, Part 2

Jacob William Albert Young - 1914 - 232 pages
...the base is 8 and the altitude 3, what is the area of a triangle whose base is 40 and altitude 20 ? 7. The area of a circle varies as the square of its radius. The area of a circle of radius 2 is 12.5664 ; what is the area of a circle whose radius is 5.5 ? 8. The volume of...
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School Algebra: First-[second] Course

Henry Lewis Rietz, Arthur Robert Crathorne, Edson Homer Taylor - Algebra - 1915 - 266 pages
...is called the constant of variation. The expression "y varies as x" is sometimes written у ос x. The area of a circle varies as the square of its radius. That is, A = fo-2, if A represents the area and r the radius. With our restricted meaning of the word...
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School Algebra: First Course

Henry Lewis Rietz, Arthur Robert Crathorne, Edson Homer Taylor - Algebra - 1915 - 304 pages
...= 3x. (4) Substituting, y = 30. 6. If y varies as x, and x = 4 when y = 12, find y when x = 10. 6. The area of a circle varies as the square of its radius. If a circle whose radius is 10 feet contains 314.16 square feet, find the area of a circle whose radius...
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Intermediate Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1916 - 280 pages
...inches tall weighs 165 pounds, what should be the weight of a man of similar build 6 feet tall ? 17. The area of a circle varies as the square of its radius. If the area of a certain circle is 254.47 square inches and its radius is 9 inches, find the area of...
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Elementary Algebra: Second Year Course

Florian Cajori - 1916 - 236 pages
...results will be obtained. In geometry it is proved that the length of a circle varies as its radius, that the area of a circle varies as the square of its radius, that the volume of a sphere varies as the cube of its radius. In symbols, C:Ci = r: >\, V: F, = r>...
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Complete Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1917 - 674 pages
...inches tall weighs 165 pounds, what should be the weight of a man of similar build 6 feet tall ? 17. The area of a circle varies as the square of its radius. If the area of a certain circle is 254.47 square inches and its radius is 9 inches, find the area of...
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Elements of Algebra

Henry Sinclair Hall - 1918 - 384 pages
...1, г/ = 4, when ж = 2, у = 8, and when ж = 3, y = 18, express у in terms of ж. 20. Given that the area of a circle varies as the square of its radius, and that the area of a circle is 154 square feet when the radius is 7 feet : find the area of a circle...
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Junior High School Mathematics, Volume 2

Theodore Lindquist - Mathematics - 1920 - 256 pages
...(3) indicates that the area of a circle is proportional to the square of its radius. Or we say that the area of a circle varies as the square of its radius. Note that, when two quantities are proportional or when one quantity varies as the other, one quantity...
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American Journal of Physiology, Volume 52

Physiology - 1920
...their walls are dilated more or less proportionately to the degree of intra-thoracic pressure. Since the area of a circle varies as the square of its radius, it is apparent that a slight progressive increase in the diameter of the bronchioles will cause a relatively...
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American Journal of Physiology, Volume 52

Physiology - 1920 - 618 pages
...their walls are dilated more or less proportionately to the degree of intra-thoracic pressure. Since the area of a circle varies as the square of its radius, it is apparent that a slight progressive increase in the diameter of the bronchioles will cause a relatively...
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