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  4. In the given figure, A B C D is a rectangle inscribed in a semi-circle. If the length and the breadth of the rectangle are in the ratio 2: 1. What is the ratio of the perimeter of the rectangle to the diameter of the semicircle?

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Q. In the given figure, $A B C D$ is a rectangle inscribed in a semi-circle. If the length and the breadth of the rectangle are in the ratio $2: 1$. What is the ratio of the perimeter of the rectangle to the diameter of the semicircle?Mathematics Question Image

Geometry

Solution:

(i) Join $O C$ and find the relation between $O B$ and BC.
(ii) $O B=B C$ and $O C: O B=\sqrt{2}: 1$.