Parts of a Circle (āĻŦ⧃āĻ¤ā§āϤ⧰ āĻ…āĻ‚āĻļāϏāĻŽā§‚āĻš)














Parts of a Circle (āĻŦ⧃āĻ¤ā§āϤ⧰ āĻ…āĻ‚āĻļāϏāĻŽā§‚āĻš)



  • Center (āϕ⧇āĻ¨ā§āĻĻā§ā§°): The fixed point inside the circle. āϕ⧇āĻ¨ā§āĻĻā§ā§°: āĻŦ⧃āĻ¤ā§āϤ⧰ āĻŽāĻžāϜāϤ āĻĨāĻ•āĻž āĻ¸ā§āĻĨāĻŋā§° āĻŦāĻŋāĻ¨ā§āĻĻ⧁āĨ¤

  • Radius (āĻŦā§āϝāĻžāϏāĻžā§°ā§āϧ): A line segment from the center to any point on the circle. āĻŦā§āϝāĻžāϏāĻžā§°ā§āϧ: āϕ⧇āĻ¨ā§āĻĻā§ā§°ā§° āĻĒā§°āĻž āĻŦ⧃āĻ¤ā§āϤ⧰ āĻĒā§°āĻŋāϧāĻŋāϞ⧈ āϟāύāĻž ⧰⧇āĻ–āĻžāĻ–āĻŖā§āĻĄāĨ¤

  • Diameter (āĻŦā§āϝāĻžāϏ): A line segment passing through the center and joining two points on the circle. āĻŦā§āϝāĻžāϏ: āϕ⧇āĻ¨ā§āĻĻā§ā§°ā§° āĻŽāĻžāĻœā§‡āĻĻāĻŋ āĻ¯ā§‹ā§ąāĻž āφ⧰⧁ āĻŦ⧃āĻ¤ā§āϤ⧰ āĻĻ⧁āϟāĻž āĻŦāĻŋāĻ¨ā§āĻĻ⧁āĻ• āϏāĻ‚āϝ⧋āĻ— āϕ⧰āĻž ⧰⧇āĻ–āĻžāĻ–āĻŖā§āĻĄāĨ¤


Formula / āϏ⧂āĻ¤ā§ā§°: Diameter = 2 × Radius (āĻŦā§āϝāĻžāϏ = 2 × āĻŦā§āϝāĻžāϏāĻžā§°ā§āϧ)



  • Circumference (āĻĒā§°āĻŋāϧāĻŋ): The boundary or outer edge of the circle. āĻĒā§°āĻŋāϧāĻŋ: āĻŦ⧃āĻ¤ā§āϤ⧰ āĻŦāĻžāĻšāĻŋā§°ā§° āϏ⧀āĻŽāĻžā§°ā§‡āĻ–āĻžāĨ¤

  • Chord (āĻœā§āϝāĻž): A line segment joining any two points on the circle. āĻœā§āϝāĻž: āĻŦ⧃āĻ¤ā§āϤ⧰ āϝāĻŋāϕ⧋āύ⧋ āĻĻ⧁āϟāĻž āĻŦāĻŋāĻ¨ā§āĻĻ⧁āĻ• āϏāĻ‚āϝ⧋āĻ— āϕ⧰āĻž ⧰⧇āĻ–āĻžāĻ–āĻŖā§āĻĄāĨ¤

  • Arc (āϚāĻžāĻĒ): A part of the circumference of a circle. āϚāĻžāĻĒ: āĻŦ⧃āĻ¤ā§āϤ⧰ āĻĒā§°āĻŋāϧāĻŋā§° āĻāϟāĻž āĻ…āĻ‚āĻļāĨ¤

  • Sector (āĻ–āĻŖā§āĻĄ): The region enclosed by two radii and the included arc. āĻ–āĻŖā§āĻĄ: āĻĻ⧁āϟāĻž āĻŦā§āϝāĻžāϏāĻžā§°ā§āϧ āφ⧰⧁ āĻŽāĻžāϜ⧰ āϚāĻžāĻĒā§° āĻĻā§āĻŦāĻžā§°āĻž āĻ†ā§ąāĻĻā§āϧ āĻ…āĻ‚āĻļāĨ¤

  • Segment (āĻŦ⧃āĻ¤ā§āϤāĻ–āĻŖā§āĻĄ): The region enclosed by a chord and its corresponding arc. āĻŦ⧃āĻ¤ā§āϤāĻ–āĻŖā§āĻĄ: āĻāϟāĻž āĻœā§āϝāĻž āφ⧰⧁ āϤāĻžā§° āϏāĻ‚āĻļā§āϞāĻŋāĻˇā§āϟ āϚāĻžāĻĒā§° āĻŽāĻžāϜ⧰ āĻ†ā§ąāĻĻā§āϧ āĻ…āĻ‚āĻļāĨ¤

  • Tangent (āĻ¸ā§āĻĒā§°ā§āĻļāĻ•): A line that touches the circle at exactly one point. āĻ¸ā§āĻĒā§°ā§āĻļāĻ•: āĻŦ⧃āĻ¤ā§āϤāĻ• āĻ•ā§‡ā§ąāϞ āĻāϟāĻž āĻŦāĻŋāĻ¨ā§āĻĻ⧁āϤ āĻ¸ā§āĻĒā§°ā§āĻļ āϕ⧰āĻž āϏ⧰āϞ⧰⧇āĻ–āĻžāĨ¤

  • Point of Tangency (āĻ¸ā§āĻĒā§°ā§āĻļāĻŦāĻŋāĻ¨ā§āĻĻ⧁): The point where the tangent touches the circle. āĻ¸ā§āĻĒā§°ā§āĻļāĻŦāĻŋāĻ¨ā§āĻĻ⧁: āϝāĻŋ āĻŦāĻŋāĻ¨ā§āĻĻ⧁āϤ āĻ¸ā§āĻĒā§°ā§āĻļāϕ⧇ āĻŦ⧃āĻ¤ā§āϤāĻ• āĻ¸ā§āĻĒā§°ā§āĻļ āϕ⧰⧇āĨ¤

  • Secant (āϛ⧇āĻĻāĻ•): A line that cuts the circle at two points. āϛ⧇āĻĻāĻ•: āĻŦ⧃āĻ¤ā§āϤāĻ• āĻĻ⧁āϟāĻž āĻŦāĻŋāĻ¨ā§āĻĻ⧁āϤ āϛ⧇āĻĻ āϕ⧰āĻž āϏ⧰āϞ⧰⧇āĻ–āĻžāĨ¤


Note:



  • Radius = ½ × Diameter → āĻŦā§āϝāĻžāϏāĻžā§°ā§āϧ = āĻŦā§āϝāĻžāϏ ÷ 2

  • Diameter = 2 × Radius → āĻŦā§āϝāĻžāϏ = 2 × āĻŦā§āϝāĻžāϏāĻžā§°ā§āϧ

  • The longest chord of a circle is the diameter. → āĻŦ⧃āĻ¤ā§āϤ⧰ āφāϟāĻžāχāϤāĻ•ā§ˆ āĻĻā§€āϘāϞ āĻœā§āϝāĻž āĻšā§ˆāϛ⧇ āĻŦā§āϝāĻžāϏāĨ¤

  • A tangent touches the circle at only one point. → āĻ¸ā§āĻĒā§°ā§āĻļāϕ⧇ āĻŦ⧃āĻ¤ā§āϤāĻ• āĻ•ā§‡ā§ąāϞ āĻāϟāĻž āĻŦāĻŋāĻ¨ā§āĻĻ⧁āϤāĻšā§‡ āĻ¸ā§āĻĒā§°ā§āĻļ āϕ⧰⧇