Circumference and Area of a Circle Quiz
Estimate the diameter of a circle with a circumference of 80ft.
The formula for the circumference of a circle is:
C = πd
Where C = circumference, d = diameter, and π (pi) is a mathematical constant that is approximately equal to 3.14.
We can rearrange this formula to solve for the diameter:
d = C/π
Plugging in the given circumference of 80ft, we get:
d = 80/π
Estimating pi to be 3.14, we can approximate the diameter as:
d ≈ 80/3.14
d ≈ 25.5 ft
Therefore, the estimated diameter of a circle with a circumference of 80ft is approximately 25.5 feet.
To estimate the diameter of a circle with a given circumference, you can use the formula:
Circumference = π * diameter
In this case, the given circumference is 80 ft. We can rearrange the formula to solve for the diameter:
diameter = Circumference / π
Substituting the given circumference of 80 ft into the formula:
diameter = 80 ft / π
Since π is an irrational number, we can approximate it as 3.14:
diameter ≈ 80 ft / 3.14
Calculating the approximate value:
diameter ≈ 25.48 ft
Therefore, the estimated diameter of the circle is approximately 25.48 feet.
To estimate the diameter of a circle, you can use the formula for circumference. The formula for circumference is:
C = πd
where C is the circumference and d is the diameter.
In this question, we are given the circumference as 80ft. So we can rearrange the formula to solve for the diameter:
d = C/π
Substituting the given value for C:
d = 80/π
To calculate the approximate value, we need to use the approximation for π. The value of π to three decimal places is 3.141. Therefore:
d ≈ 80/3.141
Using a calculator, we can evaluate this expression:
d ≈ 25.458ft
Therefore, the diameter of the circle is approximately 25.458 feet.