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Question 21 of 24 (1 point) 1 Question Attempt: 1 of 1
The radius of a circle is 4 ft.
Answer the parts below. Make sure that you use the correct units in your answers.
If necessary, refer to the list of geometry formulas.
(a) Find the exact area and circumference of the circle. Write your answers in
terms of x.
Exact circumference:
(b) Approximate the area and circumference of the circle. To do the
approximations, use the x button on the ALEKS calculator and round your
answers to the nearest hundredth.
Exact area:
Continue
52"F
0
Approximate area:
Approximate circumference:
DO
8
ft²
X
4 ft
K
ft'
ft
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Answer 1

The radius of the circle is 4 ft. We can calculate the exact area and circumference using the formulas A = πr^2 and C = 2πr. Approximations can be made using the value of π as 3.14 and rounding to the nearest hundredth.

Step-by-step explanation:

The radius of a circle is given as 4 ft, and we are asked to find the exact and approximate area and circumference of the circle. The formula to calculate the exact circumference of a circle is C = 2πr, where r is the radius and π is a constant approximately equal to 3.14. Therefore, the exact circumference is 2π(4) = 8π ft.

The formula to calculate the exact area of a circle is A = πr^2. Substituting the given radius, we can find the exact area as A = π(4^2) = 16π ft^2.

To approximate the area and circumference, we can use the value of π as 3.14 and round our answers to the nearest hundredth. Therefore, the approximate area is A ≈ 3.14(4^2) ≈ 50.24 ft^2, and the approximate circumference is C ≈ 2π(4) ≈ 25.12 ft.

Learn more about Calculating the area and circumference of a circle