All tangents to the circle are congruent and form a square. the perimeter of square aceg is 24 cm. a circle is inscribed in squa
1 answer:
The length of line segment bc is 3 cm. Thus, the correct option is B.
<h3>What is a perimeter?</h3>Perimeter is the sum of the length of the sides used to make the given figure.
Since ACEG is a square and the perimeter of the square is 24 cm, therefore, the length of the side of the square is 6 cm.
Now, since the circle is inscribed in the square, therefore, each side of the circle will be divided into two equal parts by the circle. Thus, the value of BC is half the length of the side of the square.
BC = AC /2 = 6cm /2 = 3 cm
Hence, the length of line segment bc is 3 cm. Thus, the correct option is B.
Learn more about Perimeter:
#SPJ1
You might be interested in
Answer:
n=465 rounded up to the nearest integer
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean for the sample
population mean (variable of interest)
represent the population standard deviation
Confidence =0.95 or 95%
Me= 0.3, represent the margion of error
n represent the sample size (variable of interest)
The margin of error is given by this formula:
(a)
And on this case we have that ME =0.3 mm and we are interested in order to find the value of n, if we solve n from equation (4) we got:
(b)
The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got , replacing into formula (b) we got:
So the answer for this case would be n=465 rounded up to the nearest integer