Answer:
Area of parallelogram is equal to the product of base and height, the area is the product of
and r, or
.
Explanation:
We are finding the area of a circle by an alternative method.
What we do is split the circle into multiple sectors and then arrange them in the form of a parallelogram and find the area of this parallelogram.
Area of parallelogram = base
![* height](https://img.qammunity.org/2021/formulas/mathematics/middle-school/su4xj36okn8t8z5zvkbfbf12qhg2nlylec.png)
Hence area is the product of base and height.
Base =
![\pi r](https://img.qammunity.org/2021/formulas/mathematics/middle-school/f3qeaajvxealt0x27znodbumrrkkpf57hk.png)
Height = r
Area is the product of
and r =
![\pi r^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/vmi45gdputitfb8ib60mwxbg9hlj7cclys.png)