Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pi.
2 answers:
Hello there!
First, let's take a look at what the formula for the circumference and area of a circle is.
The circumference is "2
r", or "2 * 3.14 * r".
The area is "r^2", or "3.14 * r * r".
Let's establish what the radius is, as is equivalent to 3.14.
The radius is half of the diameter, and our diameter is 10.
Divide 10 by 2 to find our radius.
10 / 2 = 5
The radius is 5.
Now, let's plug in 5 for the radius for both formulas.
C = 2 * 3.14 * 5
10 * 3.14
31.4 is our Circumference.
Now, onto the area.
A = r * r * 3.14
5 * 5 * 3.14
25 * 3.14
78.5 is our Area.
I hope this helps!
First, let's take a look at what the formula for the circumference and area of a circle is.
The circumference is "2
The area is "
Let's establish what the radius is, as
The radius is half of the diameter, and our diameter is 10.
Divide 10 by 2 to find our radius.
10 / 2 = 5
The radius is 5.
Now, let's plug in 5 for the radius for both formulas.
C = 2 * 3.14 * 5
10 * 3.14
31.4 is our Circumference.
Now, onto the area.
A = r * r * 3.14
5 * 5 * 3.14
25 * 3.14
78.5 is our Area.
I hope this helps!
You might be interested in
Using the z-distribution, since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.
<h3>What are the hypotheses tested?</h3>At the null hypotheses, we test if the proportion of successes equals 0.5, hence:
At the alternative hypotheses, we test if it does not equal, hence:
The test statistic is given by:
In which:
is the sample proportion.
- p is the proportion tested at the null hypothesis.
- n is the sample size.
For this problem, the parameters are given by:
Hence the test statistic is given by:
z = (0.35 - 0.5)/(0.5/sqrt(40))
z = -1.9.
<h3>What is the decision?</h3>Using a z-distribution calculator, considering a two-tailed test, as we are testing if the proportion is different of a value, with z = -1.9, we get that the p-value of the test is of 0.057.
Since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.
More can be learned about the z-distribution at brainly.com/question/16313918
#SPJ4