Length of diagonal of the square is :

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

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

Length of diagonal of the square is :

Options:

$14\sqrt{2}$cm

$7\sqrt{2}$cm

14 cm

7 cm

Correct Answer:

$14\sqrt{2}$cm

Explanation:

OE = 7 cm = radius of semicircle

Here, OE = OA = OD = 7 = radius and

AD = OA + OD = 7 + 7 = 14 cm = side of the square

Diagonal of square = $\sqrt {2}$ side

= 14 $\sqrt {2}$ cm