Question

A circular plate has circumference 21.4 inches. What is the area of this​ plate? Use 3.14 for pi.

Answer 1

Answer:

The area of this plate is $36.31\ \text{inches}^2$.

Step-by-step explanation:

We have,

Circumference of a circular plate, C = 21.4 inches

The circumference of a circular shape is given by :

$C=2\pi r$

r is radius of circular shape

$r=\dfrac{C}{2\pi}\\\\r=\dfrac{21.4}{2\times 3.14}\\\\r=3.4\ \text{inches}$

Area of this plate is given by :

$A=\pi r^2\\\\A=\pi (3.4)^2\\\\A=36.31\ \text{inches}^2$

So, the area of this plate is $36.31\ \text{inches}^2$.