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.
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)
5 answers
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.
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.
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.