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" Find the area of a circle whose radius is 12 feet, from the law that the area of a circle varies as the square of its radius. "
Elementary Algebra for the Use of Preparatory Schools - Page 362
by Charles Smith - 1894 - 584 pages
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Elementary Algebra

John Henry Tanner - Algebra - 1904 - 398 pages
...= 7. 7. If x varies inversely as y, and x = 10 when у = 3, what is the value of x when у = 5? 9. The area of a circle varies as the square of its radius, and the area of a circle whose radius is 10 ft. is 31-1.10 sq. ft. What is the area of a circle whose...
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Exercises in Algebra

Edward Rutledge Robbins, Frederick Howland Somerville - Algebra - 1904 - 188 pages
...varies inversely as (2 x + 1) (ж — 3) and у = — ¿ when ж = 2, find ж when у = 1-J. 16. If the area of a circle varies as the square of its radius, and the area of a circle whose radius is 7 is 154, find the area of the circle whose radius is 10....
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Elementary Algebra

Walter Randall Marsh - Algebra - 1905 - 412 pages
...prove that xxyziv. 13. The area of a circle varies as the square of the radius ; show that the area of a circle of 5 feet radius is equal to the sum of a...circle of 3 feet radius and another of 4 feet radius. 14. Knowing that the volume, F,'of a gas varies directly as the temperature, T, when Т =273°+ the...
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Advanced Algebra

Arthur Schultze - Algebra - 1905 - 674 pages
...when у = 2, 2 = 4. 16. If гсэс^, and a; =2, when у = 12, 2 = 2; und x when г/ = 7, 2 = 3. 17. The area of a circle varies as the square of its radius. If the area of a circle is 100 square yards, when the radius is a feet, find the area of a circle whose...
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Essentials of Algebra: Complete Course (an Adequate Preparation for the ...

John Charles Stone, James Franklin Millis - Algebra - 1905 - 776 pages
...is 18 sq. inches. WThat will be the area when the base is 6 inches and the altitude 10 inches ? 11. The area of a circle varies as the square of its radius. When the radius is С feet the area is 113.0976 square feet. What is the area when the radius is 8...
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Algebra for Secondary Schools

Webster Wells - Algebra - 1906 - 550 pages
...diameters of two of the plates are 8 and 9 inches respectively, find the diameter of the other ; it being given that the area of a circle varies as the square of its diameter. 13. If y equals the sum of two numbers which vary directly as Xs and inversely as x, respectively,...
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Algebra for Secondary Schools

Webster Wells - Algebra - 1906 - 484 pages
...diameters of two of the plates are 8 and 9 inches respectively, find the diameter of the other ; it being given that the area of a circle varies as the square of its diameter. 13. If y equals the sum of two numbers which vary directly as ж3 and inversely as x, respectively,...
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Elementary Electrical Engineering in Theory and Practice: A Class Book for ...

J. H. Alexander - Electric engineering - 1906 - 244 pages
...varies inversely with the area of the cross-section. As wires are round, to find their area we say that the area of a circle varies as the square of its diameter; for instance, if we have two conductors one \ inch thick and the other f inch thick, their...
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Advanced Algebra

Arthur Schultze - Algebra - 1906 - 584 pages
...when у = 2, z = 4. 16. If x ж y-, and x = 2, when у = 12, z = 2 ; find ж when у = 7, z = 3. z 17. The area of a circle varies as the square of its radius. If the area of a circle is 100 square yards, when the radius is a feet, find the area of a circle whose...
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College Algebra

Charles Hamilton Ashton, Walter Randall Marsh - Algebra - 1907 - 304 pages
...prove that x cc 13. The area of a circle varies as the square of the radius ; show that the area of a circle of 5 feet radius is equal to the sum of a...circle of 3 feet radius and another of 4 feet radius. 14. Knowing that the volume, V, of a gas varies directly as the temperature, T, when 7=273° + the...
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