CK-12 Geometry Concepts

(Elliott) #1

http://www.ck12.org Chapter 10. Perimeter and Area


2.



  1. An extra large pizza has a diameter of 20 inches and is cut into 12 pieces. Find the length of the crust for one
    piece of pizza.


Answers:



  1. Use the Arc Length formula.


PQ̂=^135


360


· 2 π( 12 )

PQ̂=^3
8
· 24 π

PQ̂= 9 π


  1. Use the Arc Length formula.


PQ̂=^360 −^260


360


· 2 π( 144 )

PQ̂=^5
18
· 288 π

PQ̂= 80 π


  1. The entire length of the crust, or the circumference of the pizza, is 20π≈ 62. 83 in. In 121 of the pizza, one piece
    would have^6212.^83 ≈ 5 .24 inches of crust.


Practice


Find the arc length ofPQ̂in



A. Leave your answers in terms ofπ.

1.


2.


3.


4.


FindPA(the radius) in



A. Leave your answer in terms ofπ.

5.


6.


7.


Find the central angle ormPQ̂in

A. Round any decimal answers to the nearest tenth.


8.


9.


10.



  1. The Olympics symbol is five congruent circles arranged as shown below. Assume the top three circles are
    tangent to each other. Brad is tracing the entire symbol for a poster. How far will his pen point travel?

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