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Please read the following carefully and answer the Questions:

In the given figure ABCD is square and OE = 7 cm.

Figure for CUET General Test 2022 6 Aug Shift 1 question 55 (Geometry)

The perimeter of the figure is:

Solution

Correct Option: 3

OE = radius = 7 cm, so diameter AD = 14 cm, hence side of square = 14 cm.

Arc length of semicircle = πr=227×7=22\pi r=\frac{22}{7}\times 7=22 cm.

Perimeter = 22+14+14+14=6422+14+14+14=64 cm (AD replaced by arc).

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