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What is the radius of the largest circle that can be cut out of the rectangle measuring 10 cm in length and 8 cm in breadth?

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4 cm

5 cm

8 cm

10 cm

answer is A.

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Detailed Solution

We need to find the radius of the largest circle that can be cut out of the rectangle measuring 10 cm in length and 8 cm in breadth.
Question Image

Now, we can observe that the largest circle that fits in the rectangle of given length has the same diameter as the breadth of the rectangle, i.e., 8 cm.
So, its radius will be the half of the diameter i.e.,

r = 82 = 4 cm

So, the radius of the largest circle is obtained as 4 cm.
Hence, the correct option is (1).

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