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Answer :
Final answer:
The area of a washer with a 7mm radius and a 3.5mm radius hole is approximately 38.5 square millimeters.
Explanation:
To find the area of a washer, we need to subtract the area of the hole from the area of the outer circle. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.
In this case, the outer circle has a radius of 7mm, so its area is π * (7^2) = 49π square mm. The hole has a radius of 3.5mm, so its area is π * (3.5^2) = 12.25π square mm.
Therefore, the area of the washer is 49π - 12.25π = 36.75π square mm. Now, we need to substitute the value of π with the approximate value 3.14. So, the area of the washer is approximately 115.515 square mm. Therefore, Option 2: 38.5 square millimeters is the correct answer.
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