1.

Answer»

Solution

Let radius of the circle = $r$ cm

I : Perimeter = $2 \pi r = 88$

=> $2 \times \frac{22}{7} \times r = 88$

=> $r = 88 \times \frac{7}{44} = 14$ cm

$\therefore$ Area = $\pi r^2 = \frac{22}{7} \times (14)^2$

= $22 \times 2 \times 14 = 616 cm^2$

Thus, statement I alone is sufficient.

II : DIAMETER = 28 cm

=> Radius, $r = \frac{28}{2} = 14$ cm

$\therefore$ Area = $\pi r^2 = \frac{22}{7} \times (14)^2$

= $22 \times 2 \times 14 = 616 cm^2$

Thus, statement II alone is sufficient.

Thus, either statement alone is sufficient.


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