Answer:
a. 0.027 or 2.7%
b. 0.973 or 97.3%
Step-by-step explanation:
Please kindly check the attached file for explanation
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2 answers:
The picture in the attached figure
we know that
area of a sector=(∅/2)*r²--------> when ∅<span> is in radians
</span>
area of sector inner circle=(∅/2)*r²
area of sector outer circle=(∅/2)*R²-(∅/2)*r²
<span>The ratio of the area of the sector removed from the outer circle to the area of the sector removed from the inner circle is
</span>[(∅/2)*R²-(∅/2)*r²]/[(∅/2)*r²]-----> [R²-r²]/[r²]
therefore
the answer is
<span>(R^2 - r^2)/r^2</span>
we know that
area of a sector=(∅/2)*r²--------> when ∅<span> is in radians
</span>
area of sector inner circle=(∅/2)*r²
area of sector outer circle=(∅/2)*R²-(∅/2)*r²
<span>The ratio of the area of the sector removed from the outer circle to the area of the sector removed from the inner circle is
</span>[(∅/2)*R²-(∅/2)*r²]/[(∅/2)*r²]-----> [R²-r²]/[r²]
therefore
the answer is
<span>(R^2 - r^2)/r^2</span>
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