Answer:
The area of this plate is
.
Explanation:
We have,
Circumference of a circular plate, C = 21.4 inches
The circumference of a circular shape is given by :
![C=2\pi r](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mi4tnw17egix4j0slvrtb6r082cjra53zk.png)
r is radius of circular shape
![r=(C)/(2\pi)\\\\r=(21.4)/(2* 3.14)\\\\r=3.4\ \text{inches}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/esz0afonqdkftqoxegf3oms9149lrqw41s.png)
Area of this plate is given by :
![A=\pi r^2\\\\A=\pi (3.4)^2\\\\A=36.31\ \text{inches}^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/2am7dbg9778jxsw8qi6vz7s76t4y6t4fik.png)
So, the area of this plate is
.