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- 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.
- Calculating π
- Calculating Measures of A Circle
- Related Pages
- References
π {\\displaystyle \\pi } can be measured by drawing a circle, then measuring its diameter (d {\\displaystyle d} ) and circumference (c {\\displaystyle c} ). This is because the circumference of a circle is always equal to π {\\displaystyle \\pi } times its diameter. 1. π = c d {\\displaystyle \\pi ={\\frac {c}{d}}} π {\\displaystyle \\pi } can also be calcula...
Area
Using the radius: A = π r 2 = τ r 2 2 {\\displaystyle A=\\pi r^{2}={\\frac {\\tau r^{2}}{2}}} Using the diameter: A = π d 2 4 = τ d 2 8 {\\displaystyle A={\\frac {\\pi d^{2}}{4}}={\\frac {\\tau d^{2}}{8}}} Using the circumference: A = c 2 2 τ = c 2 4 π {\\displaystyle A={\\frac {c^{2}}{2\\tau }}={\\frac {c^{2}}{4\\pi }}}
Circumference
Using the radius: c = τ r = 2 π r {\\displaystyle c=\\tau r=2\\pi r} Using the diameter: c = π d = τ d 2 {\\displaystyle c=\\pi d={\\frac {\\tau d}{2}}} Using the area: c = 2 τ A = 2 π A {\\displaystyle c={\\sqrt {2\\tau A}}=2{\\sqrt {\\pi A}}}
Diameter
Using the radius: d = 2 r {\\displaystyle d=2r} Using the circumference: d = c π = 2 c τ {\\displaystyle d={\\frac {c}{\\pi }}={\\frac {2c}{\\tau }}} Using the area: d = 2 A π = 2 2 A τ {\\displaystyle d=2{\\sqrt {\\frac {A}{\\pi }}}=2{\\sqrt {\\frac {2A}{\\tau }}}}
Weisstein, Eric W. "Circle". mathworld.wolfram.com. Retrieved 2020-09-24."Basic information about circles (Geometry, Circles)". Mathplanet. Retrieved 2020-09-24.A circle is the round shape formed by all the points equidistant from a center point. This shape can be found everywhere, from the ring on your finger to the performance space in a circus (which sounds suspiciously similar, doesn’t it?).
Learn the meaning of circle as a shape, a group, or an upper floor in a theatre. See how to use circle as a verb, an idiom, or a noun in different contexts and sentences.
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