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Official music video by Post Malone performing “Circles” – off his new album 'Hollywood's Bleeding’ available now: https://PostMalone.lnk.to/hollywoodsbleedi...
- 4 min
- 690.5M
- PostMaloneVEVO
- Circle basics. Circles glossary. Radius, diameter, circumference & π. (Opens a modal) Proof: all circles are similar.
- Arc measure. Intro to arc measure. Finding arc measures. (Opens a modal) Finding arc measures with equations. Practice.
- Arc length (from degrees) Arc length from subtended angle. Subtended angle from arc length. (Opens a modal) Challenge problems: Arc length 1.
- Introduction to radians. Intro to radians. Radians & degrees. (Opens a modal) Degrees to radians. Radians to degrees.
- You Can Draw It Yourself
- Play with It
- Radius, Diameter and Circumference
- Remembering
- Area
- Names
- Lines
- Inside and Outside
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Put a pin in a board, put a loop of string around it, and insert a pencil into the loop. Keep the string stretched and draw the circle!
Try dragging the point to see how the radius and circumference change. (See if you can keep a constant radius!)
The Radiusis the distance from the center outwards. The Diametergoes straight across the circle, through the center. The Circumferenceis the distance once around the circle. And here is the really cool thing: We can say: Circumference = π× Diameter Also note that the Diameter is twice the Radius: Diameter = 2 × Radius And so this is also true: Circ...
The length of the words may help you remember: 1. Radiusis the shortest word and shortest measure 2. Diameteris longer 3. Circumferenceis the longest
The area of a circle is πtimes the radius squared, which is written: A = π r2 Where 1. Ais the Area 2. ris the radius Or, using the Diameter: A = (π/4) × D2
Because people have studied circles for thousands of years special names have come about. Nobody wants to say "that line that starts at one side of the circle, goes through the center and ends on the other side"when they can just say "Diameter". So here are the most common special names:
A line that "just touches" the circle as it passes by is called a Tangent. A line that cuts the circle at two points is called a Secant. A line segment that goes from one point to another on the circle's circumference is called a Chord. If it passes through the center it is called a Diameter. And a part of the circumference is called an Arc.
A circle has an inside and an outside (of course!). But it also has an "on", because we could be right on the circle. Example: "A" is outside the circle, "B" is inside the circle and "C" is on the circle.
Learn what a circle is, how to draw it, and how to measure its radius, diameter, circumference and area. Explore the special names and properties of lines, slices and angles related to circles.
Watch the official lyric video for Post Malone's song "Circles" from his album “Hollywood’s Bleeding” on YouTube.
- 4 min
- 113M
- Popular Music
Learn about circles, a 2-dimensional closed shape with a curved side and a center. Find out the formulas for area, circumference, arc length, and other circle properties, and see examples and practice problems.
The circle is a highly symmetric shape: every line through the centre forms a line of reflection symmetry, and it has rotational symmetry around the centre for every angle. Its symmetry group is the orthogonal group O (2, R ). The group of rotations alone is the circle group T. All circles are similar.
People also ask
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Aug 30, 2019 · You don't believe it, we do this every time. [Chorus] Seasons change and our love went cold. Feed the flame 'cause we can't let go. Run away, but we're running in circles. Run away, run away. I ...
