...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?...

...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....

...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...

...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....

...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...

...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...

...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...

...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...

...= 1, у = 4, when x = 2, у = 8, and when x = 3, г/ = 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...

...Explain the meaning of the terms (1) a ratio of greater inequality, (2) incommensurable numbers. (b) If the area of a circle varies as the square of its radius, find the radius of a circle which i& equal in area to the sum of the areas of two circles, whose radii...