Subject
Quantitative Aptitude
Topic
Mensuration
The diameter of a circle is numerically equal to the area of a square whose perimeter is 28 cm. What is the circumference of the circle?
The diameter of a circle is numerically equal to the area of a square whose perimeter is 28 cm. What is the circumference of the circle?
ক)
7 cmখ)
28 cmগ)
154 cmঘ)
49 cmঙ)
None of theseExplanation
Let the side of the square be a cm ∴ Perimeter of square = 4 × a ⇒ 4 × a = 28 ⇒ a = 7 cm ∴ Area of square = a 2 ⇒ Area of square = 7 2 = 49 cm 2 Now, diameter of circle = area of square ∴ Diameter of circle = 49 cm Now, circumference of circle = π × (diameter) ∴ Circumference = π × 49 ⇒ Circumference = 154 cmRelated questions
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