The area of a rectangle is equal to the area of a circle with circumference equal to 39.6 m. What is the length of the rectangle if its breadth is 4.5 m?
Correct Answer: Description for Correct answer:
Let the radius of the circle be r.
Perimeter of given circle = 39.6 m
\( \Large 2\pi r \)=39.6 => =\( \Large \frac{7\times 39.6}{22\times 2} \)=6.3m
Area of circle = \( \Large \frac{22}{7}\times 6.3\times 6.3 \)
= \( \Large \frac{873.18}{7}=124.74 m^{2} \)
Now, area of a rectangle = Area of a circle
\( \Large l\times b \)=124.74 => \( \Large l\times 4.5 \)=124.74
l=\( \Large \frac{124.74}{4.5} \)=27.72 m.
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