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Core Connections Integrated II, 2015

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Core Connections Integrated II, 2015 View details

2. Section 12.2

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Exercise 143 Page 698

A sector is part of a circle with the same radius as the sector.

D

Practice makes perfect

The sector has a radius of 6 feet, which means the second straight segment — which also is the radius of the sector — also has this length.

To find the length of the curved part we should calculate the circumference of a circle with a radius of 6 feet and then multiply this with the ratio that the sector makes up of 360^(∘). 2(6)π(30^(∘)/360^(∘))= π By adding the length of the radii with the curved part of the sector, we can find the total perimeter. 6+6+π=(12+π) ft. This corresponds to option D.

Subchapter links

12.2.1 Using Geometry to Calculate Probabilities p.670-673

12.2.2 Choosing a Model p.676-679

12.2.3 The Golden Ratio p.685-688

12.2.4 Some Challenging Probability Problems p.696-699