A company is making red metal no entry signs with outer diameter equal to 12 inches. How many square inches of area are included

Question

3 years ago

14

A company is making red metal no entry signs with outer diameter equal to 12 inches. How many square inches of area are included

in the red portion of the sign
• Approximate the inner white regions as semicircles round your answer to one decimal place

Mathematics

2 answers:

Gnom [1K] · Answer 1 · 2022-05-26T04:30:27+03:00

Gnom [1K]3 years ago

8 0

Answer:60.8

Step-by-step explanation: Just do 12/2 and 8/2 and plug those numbers into the area of a circle formula that is A=πr2 and subtract those numbers

Karolina [17] · Answer 2 · 2022-05-26T05:46:18+03:00

Answer:

62.8

Step-by-step explanation:

To find the area of metal required, we calculate the area of the outer circle and subtract the area of the two inner semicircles. The area of the outer circle is,

AOC=πr2=π(62)=113.0973 in2

The area of the inner semicircles is,

AIC=2⋅12πr2=π(42)=50.26548 in2

The total area of the sign is,

A=113.0973−50.26548=62.83182 in2

Rounded to one decimal place, the area of metal required is 62.8 square inches.

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