Question

From square cardboard, a circle of the biggest area was cut out. If the area of the circle is 616 cm2, calculate the original area of the cardboard.

Answer 1

Answer:

Step-by-step explanation:

As said, the biggest possible circle was cut out. This suggests that the diameter of the circle and the side of the square is equal.

Now, first to get diameter we need the radius.

r = $\sqrt{} \frac{area}{\pi}$

r = $\sqrt{}\frac{616}{\frac{22}{7} }$

r = $\sqrt{616* \frac{7}{22} }$

r = $\sqrt{28 * 7}$

r = $\sqrt{196}$

r = 14.

Since, radius is 14, diameter is 14 x 2 = 28.

Diamater = side, hence, the area of the square cardboard was $side^{2}$ = $28^{2}$ = 784$cm^{2}$