Circles

First, calculate the perimeter of the square:

%5Ctext%7BPerimeter%20of%20square%7D%20%3D%204%20%5Ctimes%2011%20%3D%2044%20%5C%2C%20%5Ctext%7Bcm%7D

Next, use the formula for the circumference of a circle:

C%20%3D%202%20%5Cpi%20r

We are given that the circumference of the circle is equal to the perimeter of the square, so:

2%20%5Cpi%20r%20%3D%2044

Solving for

r

r%20%3D%20%5Cfrac%7B44%7D%7B2%20%5Cpi%7D%20%3D%20%5Cfrac%7B22%7D%7B%5Cpi%7D

Now, calculate the area of the circle using the formula

A%20%3D%20%5Cpi%20r%5E2

A%20%3D%20%5Cpi%20%5Cleft(%20%5Cfrac%7B22%7D%7B%5Cpi%7D%20%5Cright)%5E2%20%3D%20%5Cfrac%7B484%7D%7B%5Cpi%7D

Using

%5Cpi%20%5Capprox%203.1416

A%20%5Capprox%20%5Cfrac%7B484%7D%7B3.1416%7D%20%5Capprox%20154%20%5C%2C%20%5Ctext%7Bcm%7D%5E2

Thus, the correct answer is 144 cm

%5E2

Chapter Questions
1 MCQs