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:

We have,

Area of circle =154cm

2

So,

πr

2

=154

⇒

7

22

r

2

=154

⇒r

2

=

22

154×7

⇒r

2

=7

2

⇒r=7cm.

Length of square=2×7=14cm.

Now, Area of square

=14×14

=196cm

2

Hence, this is the answer.