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2. Area of a circle - Wikipedia

   en.wikipedia.org/wiki/Area_of_a_circle

   The area of a regular polygon is half its perimeter multiplied by the distance from its center to its sides, and because the sequence tends to a circle, the corresponding formula–that the area is half the circumference times the radius–namely, A = ⁠ 1 / 2 ⁠ × 2πr × r, holds for a circle.

3. Measurement of a Circle - Wikipedia

   en.wikipedia.org/wiki/Measurement_of_a_Circle

   Proposition one states: The area of any circle is equal to a right-angled triangle in which one of the sides about the right angle is equal to the radius, and the other to the circumference of the circle. Any circle with a circumference c and a radius r is equal in area with a right triangle with the two legs being c and r.

4. Circle - Wikipedia

   en.wikipedia.org/wiki/Circle

   The ratio of a circle's circumference to its diameter is π (pi), an irrational constant approximately equal to 3.141592654. The ratio of a circle's circumference to its radius is 2 π . [ a ] Thus the circumference C is related to the radius r and diameter d by: C = 2 π r = π d . {\displaystyle C=2\pi r=\pi d.}

5. Perimeter - Wikipedia

   en.wikipedia.org/wiki/Perimeter

   Perimeter is the distance around a two dimensional shape, a measurement of the distance around something; the length of the boundary. A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.

6. NYT ‘Connections’ Hints and Answers Today, Thursday, December 12

   www.aol.com/nyt-connections-hints-answers-today...

   3. Expressions that show mild frustration. 4. Features of a flowing body of water. Related: 300 Trivia Questions and Answers to Jumpstart Your Fun Game Night. Ready for the answers?

7. Pi - Wikipedia

   en.wikipedia.org/wiki/Pi

   The circumference of a circle with radius r is 2πr. The area of a circle with radius r is πr 2. The area of an ellipse with semi-major axis a and semi-minor axis b is πab. The volume of a sphere with radius r is ⁠ 4 / 3 ⁠ πr 3. The surface area of a sphere with radius r is 4πr 2.