 | Mathematics - 1898 - 228 pages
...The areas of two similar triangles are to each other as the squares of any two homologous sides. 5. The area of a circle is equal to one-half the product of its circumference and radius. I JUNE 1894. • (b) 1. What is the number of degrees in each angle of... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...the circumference of a circle is equal to its radius multiplied by 2 TT. PROP. XIII. THEOREM. 370. The area of a circle is equal to one-half the product of its circumference and radius. Given E the radius, C the circumference, and S the area, of a O. To Prove... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...be derived from the relation of the circumference of the circle to the diameter. PROPOSITION IX. — THEOREM. The area of a circle is equal to one-half the product of its circumference by its radius. Given. — Let O be the centre of a circle whose radius is R, and... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...segments, and sectors are those which correspond to equal central angles. PROPOSITION XVI. THEOREM 420. The. area of a circle is equal to one-half the product of its circumference and radius. Hyp. S is the area of a circle of radius R and circumference C. To prove... | |
 | Arthur Schultze - 1901 - 260 pages
...segments, and sectors are those which correspond to equal central angles. PROPOSITION XVI. THEOREM 420. The area of a circle is equal to one-half the product of its circumference and radius. Hyp. S is the area of a circle of radius R and circumference C. To prove... | |
 | Arthur Schultze - 1901 - 392 pages
...segments, and sectors are those which correspond to equal central angles. PROPOSITION XVI. THEOREM 420. The area of a circle is equal to one-half the product of its circumference and radius. Hyp. S is the area of a circle of radius R and circumference C. To prove... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...equals 3r* — , and that the distance of any side from the centre is r — '— PROPOSITION IX 364. The area of a circle is equal to one-half the product of its circumference and radius. Let A be the area of the given circle, r its radius, and C its circumference.... | |
 | Frank Joseph Schneck - Business mathematics - 1902 - 312 pages
...will become the circumference, and the apothem will become the radius of the circle. Principle. — The area of a circle is equal to one-half the product of its circumference and radius. circumference x radius Area = 205. Inscribe a circle within a square.... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...of any two homologous sides. BOOK V. 444. Formula for the circumference in terms of the radius. 449. The area of a circle is equal to one-half the product of its circumference by its radius. 486. Two points symmetrical with respect to a line or axis are points... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...sectors in different circles which have equal angles at the center. PROPOSITION XIII. THEOREM 449. The area of a circle is equal to one-half the product of its circumference by its radius. Given a O with circumference denoted by C, radius by R, and area by... | |
| |
The area of a circle is equal to one-half the product of its circumference and radius. 
