# How does the area of a circle relate to the area of a parallelogram?

##### 1 Answer

#### Answer:

If you divide a circle into a number of equal segments then stack them in a row head-to-tail, the resulting shape is like a parallelogram with bumpy sides, with the same area as the circle.

#### Explanation:

As you make the segments smaller and smaller, the parallelogram becomes more of a rectangle with shorter side equal to the radius of the circle

Hence we get the formula