dominomeyer30 dominomeyer30

12-06-2020
Mathematics

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In a circle, a 45° sector has an area of 32π cm2. What is the radius of this circle?

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ChillMuse ChillMuse

12-06-2020

Area of sector = [tex]\frac{angle}{360} \pi r^{2}[/tex]

32[tex]\pi[/tex] = [tex]\frac{45}{360} \pi r^{2}[/tex]

32 = [tex]\frac{1}{8} r^{2}[/tex]

[tex]r^{2}[/tex] = 256

r = 16 cm

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