Area of circle is equal to the area of a rectangle having perimeter of 50 cm and the length is more than its breadth by 3cm. What is the diameter of the Circle?
Correct Answer: Description for Correct answer:
Let breadth of the rectangle be b.
Then, length = (b + 3)
According to the question,
2(b+b+3)=50 => 2b+3=25
=> 2b=22 => b=\( \Large \frac{22}{2} \)=11
Breadth = 11 cm
Length = (11 + 3) = 14 cm
Area of the circle = Area of the rectangle
=> \( \Large \pi r^{2}=14\times 11 \)
=> \( \Large r^{2} \)=\( \Large \frac{14\times 11\times 7 }{22} \)=49
r=\( \Large \sqrt{49} \)=7 cm.
Diameter=2r=\( \Large 2\times 7 \)=14 cm.
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