40.7in^2
Circumference = 2pi*r
22.6 = 2*3.14*r
22.6 = 6.28*r
r = ~3.6
Using that we can find area
A = pi*r^2
A = 3.14*3.6^2
A = 3.14*12.96
A = 40.6944 which is ~40.7in^2
The area of the circular plate with a circumference of 22.6 inches is 40.69 in².
The area of a circle can be found by using the formula given below:
Area = πr²
The circumference is given as 22.6. Therefore:
Circumference = 2πr
⇒ 22.6 inches = 2πr
⇒ 22.6 inches = 2*3.14*r
⇒ r = 22.6/(2*3.14) inches
⇒ r = 3.6 inches
We can use this r to find the area. The area of a circle is given by:
A = πr²
= 3.14*3.6*3.6 in²
= 40.69 in²
Therefore we have found the area of the circular plate with a circumference of 22.6 inches to be 40.69 in².
Learn more about the area of a circle here: https://brainly.com/question/14068861
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