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In Sarah's family, the birthday person always gets to cut the first piece of cake. Sarah is celebrating her birthday with both of her parents, her two brothers, and her best friend. She cuts her slice of cake with an 85º central angle. (The cake has an 8 inch radius) If the rest of the party equally shares the remaining portion of the cake, what is the approximate area that each one receives?

Respuesta :

Answer:

45

Step-by-step explanation:

Answer:

The answer is 30.7 not 45.

Step-by-step explanation:

360-85 degrees is 275 degrees. 275 degrees shared by 5 other people will mean that 275/5 = 55 degrees each respectively.

Find the area of this sector by using the following formula: [tex]\pi r^2[/tex]·[tex]\frac{x}{360}[/tex]

r = 8 and x = 55.

When you plug these numbers into the formula, you get 30.7

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