SSC GD 2019 PYQ — Question 67

SSC GD Constable (English) - 11 Feb 2019 Shift 3 • Quantitative Aptitude • Q67

The perimeter of a square and a circle are same. If the area of the circle is 2464 cm2, then what will be the area of the square

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Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 1936 cm2

Understanding Application

πr2 = 2464

22/7 × r = 2464

r2 = 784, r = 28

2πr = 4 × side (given)

176 = 4 × side

side = 44

Area of square = side2

⇒ 442 = 1936cm2.

Area of Circle = πr2

Perimeter of Circle = 2πr

Area of square = side2

Perimeter of square = 4 × side