Find the area of a circle given C=4π . Give your answer in terms of π
To find the area of a circle when given the circumference, we can use the formula:
C = 2πr
Given that the circumference C is 4π, we can plug this into the formula above to solve for the radius r:
4π = 2πr
r = 2
Now that we have found the radius of the circle to be 2, we can use the formula for the area of a circle to find the area:
A = πr^2
A = π(2)^2
A = 4π
Therefore, the area of the circle is 4π.
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
Given the circumference of the circle is 22π, and if we substitute 3.14 for π, we can use the formula for the circumference of a circle to find the radius:
C = 2πr
22π = 2 * 3.14 * r
r = 22π / 6.28
r ≈ 11.12
Now that we have found the radius of the circle to be approximately 11.12 inches, we can calculate the area using the formula for the area of a circle:
A = πr^2
A = 3.14 * (11.12)^2
A ≈ 388.52
Therefore, the area of the circle is approximately 388.52 square inches.
wrong
I apologize for the error in the previous calculation. Let's re-calculate the area of the circle with the corrected value:
Given:
Circumference, C = 22π inches
Radius, r = C / 2π = 22π / 2π = 11 inches
Now, we can calculate the area of the circle using the formula:
A = πr^2
A = 3.14 * (11)^2
A = 3.14 * 121
A = 379.94
Therefore, the correct area of the circle with the circumference of 22π inches is 379.94 square inches.
Complete the table by finding the circumference and area of a circle with a radius of 3 feet. Substitute 3.14 for pi. Express your answers to the tenths place
Given that the radius of the circle is 3 feet:
Radius, r = 3 feet
Now we can calculate the circumference and area using the formulas:
Circumference, C = 2πr
C = 2 * 3.14 * 3
C = 18.84 feet
Area, A = πr^2
A = 3.14 * (3)^2
A = 3.14 * 9
A = 28.26 square feet
Therefore, for a circle with a radius of 3 feet, the circumference is 18.8 feet (to the tenths place) and the area is 28.3 square feet (to the tenths place).
Complete the table by finding the circumference and area of a circle with a radius of 38 feet. Substitute 3.14 for pi. Express your answers to the hundredths place
Given that the radius of the circle is 38 feet:
Radius, r = 38 feet
Now we can calculate the circumference and area using the formulas:
Circumference, C = 2πr
C = 2 * 3.14 * 38
C = 238.72 feet
Area, A = πr^2
A = 3.14 * (38)^2
A = 3.14 * 1444
A = 4534.16 square feet
Therefore, for a circle with a radius of 38 feet, the circumference is 238.72 feet (to the hundredths place) and the area is 4534.16 square feet (to the hundredths place).