Shadowing Practice: Extras ArcLength YouTube - Learn English Speaking with Video

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Have you ever heard of an arc?
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No, I’m not talking about a boat full of animals.
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I’m talking about a shape  you encounter in geometry.
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An arc is a basically just part of a circle.
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In our video lesson called “Circles: What is Pi?”, you learned that a circle is the set of all points that are equidistant from a central point.
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A good way to draw a circle on  the coordinate plane is to first draw a horizontal line segment from  the origin to some point on the x-axis and then rotate that segment  360 degrees around the origin, leaving a trail from the endpoint as you go.
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The endpoint traces a full circle.
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But what if you don’t rotate  the line a full 360 degrees?
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What if you do the same thing  but only rotate it 45 degrees?
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In that case you’d only trace out  a small segment of a circle.
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That’s what an arc is.
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It’s a segment of a circle’s circumference.
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And just like with a straight line segment, an arc is bound by two endpoints.
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We can make arcs of different lengths just by choosing different  angles to rotate our line, which you may have realized is  the radius of the full circle.
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Rotating only 10 degrees gives you  this short, slightly curved line, while rotating 100 degrees  gives you this much longer arc; more than one-fourth of a full circle.
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The angle you choose to rotate is  called the “central angle” of the arc and it, along with the radius,  determines the length of the arc.
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The bigger the central angle,  the longer the arc will be.
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In fact, the distance that  you’d travel if you walked along the curved path of the  arc is called the “arc length”.
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That length is always longer  than the distance you would walk if you traveled along a straight line  between the endpoints of the arc.
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You might say that the arc takes you  on a more “round-about path” haha.
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Get it? …round-about …cuz it’s a circle?
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And here’s something handy, there’s actually a formula you can  use to calculate the arc length if you know the radius and  the central angle of the arc.
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Let’s be clever and figure  out what that formula is.
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If you rotate the radius line a full 360 degrees, the arc length would just be the same as the full circumference of  the circle you make, right?
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So if we only rotate the radius line a  fraction of the amount between 0 and 360, the arc length will only be a  fraction of the total circumference.
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That fraction will be the angle  we actually rotate the line (represented by the Greek letter theta) over the total angle for a full  circumference (360 degrees).
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The formula for circumference is c = 2(Pi)r So if we just multiply that amount  by the fraction (theta over 360) that should give us the arc length.
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But we should use a different  letter for arc length since ‘c’ is used for a full circumference.
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Mathematicians seem to like the letter ’s’.
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Let’s try using that formula to  calculate the length of an actual arc.
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Suppose we’re given an arc that was  made by rotating a 4 cm long radius across a central angle of 36 degrees.
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What is its arc length?
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Well, you just substitute those values  into the formula and then simplify.
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The central angle, theta, is 36 degrees  and the radius is 4 centimeters.
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Simplifying, we get 36 divided by 360 is 0.1 and 2 times Pi times 4 is 8Pi.
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Pi can be estimated as 3.14 and 8 times 3.14 equals 25.12 cm.
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Finally 0.1 times 25.12 = 2.512 cm.
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Rounding off two two decimal places  gives us an arc length ’s’ of 2.51 cm Okay, …hope that helps you understand what an  arc is and how you can calculate its length.
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Bu dersin kelimeleri ve konuşma notları

En çok tekrarlanan kelimeler: arc, length, circle, angle, degrees. Bu videoda gölgeleme çalışması için 38 cümle ve 626 kelime var. Konuşma bölümü 3:36 sürüyor. Konuşmacı dakikada yaklaşık 174 kelimeyle, günlük konuşmaya yakın doğal bir hızda konuşuyor. Kelimelerin yalnızca %75’i İngilizcede en sık kullanılan 3.000 kelime arasında, bu yüzden kelime dağarcığı zorlayıcı. 38 cümlenin 7 tanesi soru; soru tonlaması ve kısa cevaplar için iyi bir alıştırma.

Bu videodaki önemli kelimeler

Videodaki en ileri düzey 15 kelime, telaffuzu ve anlamıyla:

KelimeTelaffuzAnlam
radius isim/ˈɹeɪ.di.əs/döner kemik
circumference isim/sɚˈkʌmfɹəns/çevre
endpoint isimbitim noktası, bitiş noktası
fraction isim/ˈfɹæk.ʃən/bölüm, fraksiyon
theta isim/ˈθiːtə/teta
litter isim/ˈlɪt.ɚ/altlık
calculate fiil/ˈkælkjʊleɪt/hesaplamak
simplify fiil/ˈsɪmplɪfaɪ/sadeleştirmek
curve isim/kɚv/kıvrım
trace isim/tɹeɪs/bulmak, iz sürmek
decimal isim/ˈdɛs.ɪ.məl/ondalık sistem
mathematician isim/ˌmæθ.(ə.)məˈtɪʃ.ən/matematikçi
multiply fiil/ˈmʌltɪplaɪ/çarpmak
geometry isim/d͡ʒiˈɑ.mə.tɹi/geometri
horizontal sıfat/ˌhoɹəˈzɑn.təl/yatay

Duyacağınız deyimsel fiiller

KelimeAnlam
figure out fiilaçığa çıkarmak

Dikkat edilecek telaffuzlar

Konuşmacı I'm, you'd, don't gibi kısaltılmış biçimleri 6 kez kullanıyor. Bunları duyduğunuz gibi kısa söyleyin.

  • “th” sesleri: theta /ˈθiːtə/, mathematician /ˌmæθ.(ə.)məˈtɪʃ.ən/
  • “sh” ve “zh” sesleri: fraction /ˈfɹæk.ʃən/, mathematician /ˌmæθ.(ə.)məˈtɪʃ.ən/
  • Uzun kelimeler — vurguyu doğru yere koyun: equidistant /ˌi.kwəˈdɪs.tənt/, mathematician /ˌmæθ.(ə.)məˈtɪʃ.ən/, coordinate /koʊˈɔɹ.dəˌneɪt/, geometry /d͡ʒiˈɑ.mə.tɹi/, horizontal /ˌhoɹəˈzɑn.təl/

Türkçe konuşanların zorlandığı sesler:

  • Kelime başındaki ünsüz kümesi — araya ünlü eklemeyin: fraction /ˈfɹæk.ʃən/, trace /tɹeɪs/
  • /æ/ — “e”den daha açık: fraction /ˈfɹæk.ʃən/, calculate /ˈkælkjʊleɪt/, mathematician /ˌmæθ.(ə.)məˈtɪʃ.ən/, axis /ˈæksɪs/

Bu videoyla nasıl çalışılır

  1. Videonun tamamını konuşmadan bir kez dinleyin ve bilmediğiniz kelimeleri not edin.
  2. 0,75× hızla başlayın, cümle cümle tekrar edin ve kolaylaşınca normal hıza dönün.
  3. Kendinizi kaydedin ve orijinaliyle karşılaştırın; radius, circumference, endpoint gibi kelimelere özellikle dikkat edin.

Gölgeleme Tekniği Nedir?

Gölgeleme, başlangıçta profesyonel tercüman eğitimi için geliştirilen ve çok dilli Dr. Alexander Arguelles tarafından popüler hale getirilen, bilim destekli bir dil öğrenme tekniğidir. Yöntem basit ama güçlüdür: ana dili İngilizce olan bir sesi dinler ve hemen yüksek sesle tekrar edersiniz — konuşmacıyı 1-2 saniye gecikmeyle takip eden bir gölge gibi. Pasif dinleme veya dilbilgisi alıştırmalarının aksine, gölgeleme beyninizi ve ağız kaslarınızı gerçek konuşma kalıplarını eşzamanlı olarak işlemeye ve yeniden üretmeye zorlar. Araştırmalar, telaffuz doğruluğu, tonlama, ritim, bağlı konuşma, dinleme anlama ve konuşma akıcılığını önemli ölçüde geliştirdiğini göstermektedir — bu da onu IELTS Konuşma hazırlığı ve gerçek dünya İngilizce iletişimi için en etkili yöntemlerden biri yapar.

Shadowing tekniği: adım adım eksiksiz rehberi okuyun →