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6.7 Circumference & Arc Length. Circumference. Defn . – the distance around a circle. Thm. 6.19 – Circumference of a Circle – C = 2 r or C = d * Always use the  button on your calculator, NOT 3.14!!!. C = d C = (12) C = 12 C = 37.70 cm. C = 2 r C = 2(6) C = 12

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circumference
Circumference
  • Defn. – the distance around a circle.
  • Thm. 6.19 – Circumference of a Circle –

C = 2r or C = d

* Always use the  button on your calculator, NOT 3.14!!!

ex find the circumference of a circle with a diameter of 12 cm round to 2 decimal places
C = d

C = (12)

C = 12

C = 37.70 cm

C = 2r

C = 2(6)

C = 12

C = 37.70 cm

* If asked to leave your answer in terms of , the result would look like this.

Ex: Find the circumference of a circle with a diameter of 12 cm. (Round to 2 decimal places.)

OR

cm

ex find the radius of a circle with a circumference of 52 in
C = 2r

52 = 2r

52/2 = r

8.28 in.  r

C = d

52 = d

52/ = d

16.55 in.  d

So,

r  16.55/2

r  8.28 in.

Ex: Find the radius of a circle with a circumference of 52 in.

OR

arc length
Arc Length
  • Defn. – a portion of the circumference of a circle.
  • The measure of an arc is in degrees.
  • The length of an arc is in linear units. (such as ft, cm, etc.)
arc length corollary
Arc Length Corollary

(

  • The length of AB is:

(

arc length corollary observations
Arc Length Corollary Observations
  • The length of a semicircle is ½ the circumference.
  • The length of a 90o arc is ¼ the circumference.

180o

90o

ex find the m lm
Ex: Find the m LM.

(

(

(

16.76 in.

(

L M

8 in.

(

C

(

(