Core Connections Integrated II, 2015
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Core Connections Integrated II, 2015 View details
4. Section 8.4
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Exercise 82 Page 461

What is the central angle of the shaded region?

B

Practice makes perfect
To determine the fraction of a circle that a sector occupies, we have to divide the sector's central angle by 360^(∘). The circle has two sectors — a white and a shaded portion. Since the white sector's central angle is 60^(∘), the shaded sector's central angle must be 300^(∘).

Therefore, the fraction of the circle that is shaded is 300360, which corresponds to option B.