Question

19. The perimeter of a square, whose each side is 22cm is the same as the circumference of a circle. The area of the circle is a) 616 cm b) 616 cm c) 516 cm d) 516 cm​

Answer 1

Given:

Side of square = 22cm

Solution:

Perimeter of square:

$\implies{4×22}$

$\implies{88cm}$

Now, circumference of the circle = perimeter of square.

So, circumference = 88cm

$\implies{2πr = 88cm}$

$\implies{2 × \frac{22}{7} × r = 88cm}$

$\implies{r = 88 × \frac{7}{2+22}cm}$

$\sf{\implies{r = 14cm}}$

According to the formula:-

$\fbox{\bf{Area \: of \: circle = 2πr}}$

Finding the Area:

$\implies{2 × π × 14}$

$\implies{2 × \frac{22}{7} × 14}$

$\bold{\red{\implies{616m^{2}}}}$

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