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  • Is the area of the circle inscribed in a square of side a cm, pi a square cm suare ? Give reasons for your answer.

Is the area of the circle inscribed in a square of side a cm, \pi a2cm2? Give reasons for your answer.

Answers (1)

False

Solution

           

 

 

 

 

Use area of circle =\pi r^{2}

Side of square = a

Diameter of a circle = a                     {\because  circle inscribed in square}

Radius =\frac{a}{2}

Area =\pi r^{2}

 = \frac{\pi a^{2}}{4} cm^{2}      (Because Radius = \frac{a}{2}  )

Hence, the given statement is not true because the area of a circle inscribed in a square of side a cm is \frac{\pi a^{2}}{4} cm^{2}

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