Please answer this correctly
2 answers:
Answer: 593.46 mm²
<u>Step-by-step explanation:</u>
The diameter of the big circle is 2(7) + 20 = 34
divide the diameter by 2 to get the radius (r) = 17
Area = π·r²
= π(17)²
= 289 π
The diameter of the big circle is 20
divide the diameter by 2 to get the radius (r) = 10
Area = π·r²
= π(10)²
= 100 π
The area of the shaded region is the difference between the area of the big circle and the area of the small circle.
= 289 π - 100 π
= 189 π
= 189(3.14)
= 593.46
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Expand everything in the limit:
We have approaching 0, and in particular
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Alternatively, if you already know about derivatives, consider the function , whose derivative is
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Using the limit definition, we have
which is exactly the original limit with . The derivative is
, so the value of the limit is, again, -14.