Circumference and Area of a Circle and a Sector

Learn how to find circumference C=2πrC = 2\pi r and area A=πr2A = \pi r^2 of a circle, and calculate arc length and sector area. Let’s get started! 🚀

Circumference and Area of a Circle and a Sector - introduction visual

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Diagram showing relationship between pi and circumference: a rolling wheel illustrates that circumference equals pi times diameter.Circle with radius 5 cm showing formula for circumference C = 2πr. Example calculation gives circumference ≈ 31.4 cm.Area of a circle formula Area equals pi r squared., with an example that the radius is 3 cm. The area is calculated as approximately 28.26 cm².Circle sector diagram with formulas: Arc length equals alpha over 360 times 2 r; area equals alpha over 360 times pi r squared.

🛎️ π and Circumference

  • π is a number used in circle formulas and is usually rounded to 3.14 in calculations.
  • The formula for circumference is C = πd or C = 2πr.

🛎️ Finding the Circumference of a Circle

  • If the radius is 5 cm, substitute into C = 2πr.
  • This gives C = 10π cm, which is approximately 31.4 cm.

🛎️ Finding the Area of a Circle

  • The formula for circle area is A = πr².
  • If the radius is 3 cm, the area is 9π cm², about 28.26 cm².

🛎️ Circle Sectors

  • A sector is a fraction of a circle based on the central angle.
  • Use α/360 × 2πr for arc length and α/360 × πr² for area.

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