The circumference of a circle is 22π
inches. Find the area of that circle. Substitute 3.14 for pi. Express your answer to the hundredths place.(1 point)?
wrong
the answers:
1. 106.76
2. 4
3. 379.94
4. 18.8 and 28.3
5. 238.64 and 4,534.16
The circumference of a circle is given by the formula 2πr, where r is the radius of the circle. In this case, we are given that the circumference is 22π inches, so:
22π = 2πr
Dividing both sides by 2π, we get:
r = 11 inches
The area of a circle is given by the formula A = πr^2. Substituting the radius we found earlier:
A = π(11)^2
A = π(121)
A = 121π
Now, substituting 3.14 for π:
A = 121(3.14)
A = 380.34
Therefore, the area of the circle is approximately 380.34 square inches.
I apologize for the mistake. Let's try solving it again.
Given circumference = 22π inches.
We know that the formula for the circumference of a circle is given by: Circumference = 2πr, where r is the radius of the circle.
So, 22π = 2πr
Divide both sides by 2π:
r = 11 inches
Now, we need to find the area of the circle using the formula A = πr^2:
A = π(11)^2
A = π(121)
A = 121π
Now, substitute the value of π as 3.14:
A = 121 * 3.14
A = 380.14 square inches
Therefore, the area of the circle is approximately 380.14 square inches.