The pizza has an area of 78.5 in². What is the minimum width of a placemat that can be placed underneath it so that the pizza does not touch the table? Use 3.14 for pi.
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Answer:
The minimum width of a placemat that can be placed underneath it so that the pizza does not touch the table is 10 in.
Step-by-step explanation:
Area of the pizza = 78.5 in²
(∵area of a circle = πr²)
So, 78.5 = πr²
⇒78.5 = 3.14 × r²
⇒r² = 78.5 × 1/3.14
⇒r² = 25
⇒r = √25 = 5
Hence, radius of the pizza is 5 in.
Minimum width of placemat = Diameter of the pizza
Therefore, diameter = (5+5) in = 10 in.
∴Width of placemat needed is 10 in.
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