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How to find Circumference of Circle ? #maths

Round circumference length

2025/9/12 Edited to

... Read moreหลายคนเจอคำว่า “เส้นรอบวงกลม” แล้วสับสนว่าเริ่มจากตรงไหน ขอสรุปแบบที่ใช้ทำโจทย์ได้จริงนะคะ/ครับ โดยคำว่า circumference คือ “ความยาวรอบๆ วงกลม” (เส้นรอบรูปวงกลม) หน่วยจะเป็นหน่วยความยาว เช่น cm, m 1) สูตรหาเส้นรอบวงกลมที่ต้องจำ - ถ้ารู้รัศมี r: เส้นรอบวง C = 2πr - ถ้ารู้เส้นผ่านศูนย์กลาง d: เส้นรอบวง C = πd โดย d = 2r (เส้นผ่านศูนย์กลางยาวเป็น 2 เท่าของรัศมี) 2) เลือกค่า π (พาย) ยังไงให้เหมาะกับโจทย์ - ถ้าโจทย์ไม่กำหนด มักใช้ π ≈ 3.14 - ถ้าโจทย์เกี่ยวกับ 7 หรือ 14 หรือหารลงตัวบ่อยๆ ใช้ π = 22/7 จะคำนวณไวขึ้น 3) ตัวอย่างคำนวณจาก “รัศมี” สมมติรัศมี r = 7 cm C = 2πr = 2 × π × 7 = 14π ถ้าใช้ π = 22/7 จะได้ C = 14 × 22/7 = 44 cm (ถ้าใช้ 3.14 จะได้ประมาณ 43.96 cm) 4) ตัวอย่างคำนวณจาก “เส้นผ่านศูนย์กลาง” ถ้า d = 16 cm C = πd = 16π ใช้ 3.14 → C ≈ 16 × 3.14 = 50.24 cm 5) หา “เส้นผ่านศูนย์กลางจากเส้นรอบวง” (เจอบ่อยมาก) เริ่มจาก C = πd → d = C/π เช่น ถ้าเส้นรอบวง C = 62.8 cm และใช้ π = 3.14 d = 62.8/3.14 = 20 cm แล้วรัศมี r = d/2 = 10 cm 6) ถามต่อยอด: สูตรหาพื้นที่วงกลมจากเส้นรอบวง พื้นที่ A = πr² แต่ถ้าโจทย์ให้ C มา ให้หา r ก่อน จาก C = 2πr → r = C/(2π) แล้วแทนใน A = πr² ก็จะได้พื้นที่ ทริคเล็กๆ เวลาเช็กคำตอบ: เส้นรอบวงต้อง “ยาวกว่า” เส้นผ่านศูนย์กลางเสมอ (เพราะประมาณเท่ากับ 3.14 เท่าของ d) ถ้าคิดแล้ว C น้อยกว่า d แปลว่ามีจุดผิดแน่นอน

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