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" The area of a circle varies as the square of its radius, and the area of a circle whose radius is 1 foot is 3.1416 square feet. "
New School Algebra - Σελίδα 318
των George Albert Wentworth - 1898 - 407 σελίδες
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A graduated series of exercises in elementary algebra

George Farncomb Wright - 1857
...value of a half-crown, what would be the ratio of the diameters of such a coin and a halfsovereign? (NB The area of a circle varies as the square of its radius.) ARITHMETICAL PROGRESSION. EXERCISE XXXV. 1. WHEN are quantities said to be in Arithmetical Progression?...

The elements of algebra. [With] Answers

Robert Fowler - 1861
...when x = 2, z = 5, state the relation x between x and у in the form of a proportion. 20. Given that the area of a circle varies as the square of its radius, find the ratio between the areas of two circles whose radii are 2 feet and £ a foot respectively....

Elementary Algebra for Schools

Henry Sinclair Hall, Samuel Ratcliffe Knight - 1885 - 358 σελίδες
...and when x=\, y=4, when я=2, y=8, and when x=3, у = 18, express у in terms of x. 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...

A School Algebra

George Albert Wentworth - 1890 - 495 σελίδες
...between z x and z if a: = 1, у = 3, when z= £. l z z /. m = — 5 1+3=-^ ' =10 -5 10 Add, 2x =. 5z 8. The area of a circle varies as the square of its...Find the area of a circle whose radius is 20 feet. Let x = the area of a circle of radius r. Then, x = mr2 3.1416 = m .-. x = 3.1416 z2 x = 3.1416X400...

College Requirements in Algebra: A Final Review

George Parsons Tibbets - 1892 - 46 σελίδες
...show that a : b : : V3a2 + 5c' 6. Prove that a proportion taken by division is a true proportion. 7. The area of a circle varies as the square of its radius and the area of a circle is 154 sq. ft. when the radius is 7 ft. Find the area of the circle whose radius is 10 ft. 6 in. 8....

An Academic Algebra

James Morford Taylor - 1893 - 338 σελίδες
...of x varies as the square of y, and if x = 3 when у = 5 ; find the equation between x and y. 11. If the area of a circle varies as the square of its radius, and if the area of a circle is 154 square feet when the radius is 7 feet ; find the area of a circle whose...

Elementary Algebra for the Use of Preparatory Schools

Charles Smith - 1894 - 584 σελίδες
...body falls through 144 feet in three seconds. How far does it fall in two seconds ? 12. Given that the area of a circle varies as the square of its radius, show that a circle of 5 feet radius is equal to the sum of a circle of 3 feet radius and another of...

An Exercise Book in Algebra: Designed for Supplementary Or Review Work in ...

Matthew Scoby McCurdy - 1894 - 173 σελίδες
...10 feet is 314.159 square feet. 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. 17. From the same law show that the area of a circle 2£ inches in diameter is equal to the sum of...

Elementary Algebra

Henry Sinclair Hall, Samuel Ratcliffe Knight - 1895 - 478 σελίδες
...respectively, and when x=\, y=4, when .37=2, y=S, and when #=3,y = 18, express у in terms of x. 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 feut when the radius is 7 feet ; find the area of a circle...

A School Algebra

George Albert Wentworth - 1896 - 362 σελίδες
...z= J. 1-3 = . /. m — — о 3 = à - 2 m' = — 6 - 5 ... x - y = . Add, z4- l - \l :* - z 2z4 - 2 8. The area of a circle varies as the square of...Find the area of a circle whose radius is 20 feet. Let x = the area of a circle of radius r. Then, x — mr2 3.1416 = m ... x = 3.1416 r2 x = 3.1416 X...




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