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)
The formula for the circumference of a circle is given by 2πr, where r is the radius of the circle.
Given that the circumference is 22π inches, we can calculate the radius by setting 2πr = 22π and solving for r:
2πr = 22π
r = 22π / 2π
r = 11
Now that we have the radius, we can calculate the area of the circle using the formula A = πr^2:
A = π * (11)^2
A = π * 121
A = 121π
Substitute 3.14 for π:
A = 121 * 3.14
A = 380.14
Therefore, the area of the circle is 380.14 square inches.
wron
Apologies for the mistakes in my previous response.
Given that the circumference of the circle is 22π inches, we can calculate the diameter by dividing the circumference by π:
d = 22π / π
d = 22
The radius of the circle will be half of the diameter:
r = d / 2
r = 22 / 2
r = 11
Now that we have the radius, we can calculate the area of the circle using the formula A = πr^2:
A = π * (11)^2
A = π * 121
A = 121π
Substitute 3.14 for π:
A = 121 * 3.14
A = 380.14
Therefore, the area of the circle is 380.14 square inches.
wrong
I apologize for the error in my previous responses. Let's correct it:
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.
Given that the circumference is 22π inches, we can set up the equation:
22π = 2πr
Dividing both sides by 2π, we find the radius:
r = 22π / 2π
r = 11
Now that we have the radius, we can calculate the area of the circle using the formula A = πr^2:
A = π(11)^2
A = π(121)
A = 121π
Substitute 3.14 for π:
A = 121(3.14)
A = 380.14
The area of the circle is 380.14 square inches.