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  • draw((0,1)--(cos(pi/14),-sin(pi/14))--(-cos(pi/14),-sin(pi/14))--cycle,dot); draw((-cos(pi/14),-sin(pi/14))--(0,-1/cos(3pi/7))--(cos(pi/14),-sin(pi/14)),dot);
    14 KB (2,099 words) - 01:15, 10 September 2021
  • The area of the ring between two concentric circles is <math>12\tfrac{1}{2}\pi</math> square inches. The length of a chord of the larger circle tangent to <cmath>\pi a^2 - \pi b^2 = \frac{25 \pi}{2}</cmath>
    1 KB (187 words) - 03:29, 7 June 2018
  • The area of the ring between two concentric circles is <math>12\tfrac{1}{2}\pi</math> square inches. The length of a chord of the larger circle tangent to The arithmetic mean (ordinary average) of the fifty-two successive positive integers beginning at 2 is:
    16 KB (2,662 words) - 14:12, 20 February 2020
  • Two equal parallel chords are drawn <math>8</math> inches apart in a circle of <math>\textbf{(A)}\ 21\frac{1}{3}\pi-32\sqrt{3}\qquad
    2 KB (333 words) - 20:23, 15 April 2020
  • <math>\textbf{(A) }\frac{4}{\pi}\qquad \textbf{(B) }\frac{\pi}{\sqrt{2}}\qquad
    15 KB (2,366 words) - 07:52, 26 December 2023
  • ...eal numbers have the property that each number is the product of the other two? <math>\textbf{(A)}\ 36\pi \qquad
    16 KB (2,291 words) - 13:45, 19 February 2020
  • Using a table of a certain height, two identical blocks of wood are placed as shown in Figure 1. Length <math>r</ (A pair of socks is two socks of the same color. No sock may be counted in more than one pair.)
    17 KB (2,512 words) - 18:30, 12 October 2023
  • Consider the two functions <math>f(x) = x^2+2bx+1</math> and <math>g(x) = 2a(x+b)</math>, wh \textbf{(B)} \ \pi \qquad
    15 KB (2,309 words) - 23:43, 2 December 2021
  • If a number eight times as large as <math>x</math> is increased by two, then one fourth of the result equals <math>\textbf{(A)} \ \pi \qquad
    17 KB (2,500 words) - 19:05, 11 September 2023
  • <math>\textbf{(A) }\frac{\pi}{4}\qquad \textbf{(B) }\frac{3\pi}{4}\qquad
    17 KB (2,664 words) - 01:34, 19 March 2022
  • <math>\textbf{(A) }\frac{1}{\pi^2}\qquad \textbf{(B) }\frac{1}{\pi}\qquad
    15 KB (2,432 words) - 01:06, 22 February 2024
  • \textbf{(C) }\text{two}\qquad\\ \textbf{(D) }\text{a finite number greater than two}\qquad
    17 KB (2,835 words) - 14:36, 8 September 2021
  • A contractor estimated that one of his two bricklayers would take <math>9</math> hours to build a certain wall and the There are two positive numbers that may be inserted between <math>3</math> and <math>9</m
    17 KB (2,725 words) - 00:21, 26 May 2024
  • \textbf{(C) }\ 1: \pi \qquad \textbf{(D) }\ 3: \pi \qquad
    19 KB (2,873 words) - 18:57, 16 August 2023
  • The area of a circle inscribed in an equilateral triangle is <math>48\pi</math>. The perimeter of this triangle is: In the binary system, which has base two, the first five positive integers are <math>1,\,10,\,11,\,100,\,101</math>.
    26 KB (3,952 words) - 20:24, 10 June 2024
  • In the diagram, the two circles are tangent to the two parallel lines. The small circle is <math>9\pi</math>. Find the area of the shaded <math>\textit{lune}</math>, the region
    11 KB (1,648 words) - 09:55, 20 December 2021
  • In the diagram, the two circles are tangent to the two parallel lines. The (8)(6) - 2\left(\dfrac12 \cdot 3^2\pi\right) &= 48 - 2\left(\dfrac12 \cdot 9\pi\right) \\
    1 KB (162 words) - 14:13, 24 February 2022
  • region that lies between the two circles and the line. ...ac{1}{3} \cdot \pi - \frac{1}{6} \cdot 9\pi = \boxed {4\sqrt{3} - \frac{11\pi}{6}}</math>
    2 KB (336 words) - 12:57, 2 January 2020
  • ...hat every odd number <math>2n+1</math> can be expressed as a difference of two squares. (b) Demonstrate which even numbers can be expressed as a difference of two squares.
    6 KB (890 words) - 22:14, 7 November 2014
  • your answer as an exact multiple of <math>\pi</math> (and not as a ...triangle and let <math>A_1B_1</math> be the internal common tangent of the two largest circles, with the points <math>A_1</math> and <math>B_1</math> layi
    3 KB (412 words) - 18:49, 29 January 2018

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