The measure of central angle QRS is 8pi/9 radians. What is the area of the shaded sector?
1 answer:
The area of the shaded sector must be 144π units².
<h3>What is the area of the circle?</h3>The area of the circle is defined as the product of the pie and the square of the radius.
The area of the circle =
We know that the angle measurement of central angle QRS is less than π radians.
for r = 18 units
The area of the circle = π18² = 324π units²
The area of the half of a circle = 324π /2 = 162π units²
The area of a quarter of a circle = 324π /4 = 81π units²
so
The area of the shaded sector < 162π units²
and
The area of the shaded sector > 81π units²
Hence the answer must be 144π units²
Learn more about angles;
#SPJ1
You might be interested in
Answer:
3.84% of months would have a maximum temperature of 34 degrees or higher
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What percentage of months would have a maximum temperature of 34 degrees or higher?
This is 1 subtracted by the pvalue of Z when X = 34. So
has a pvalue of 0.9616
1 - 0.9616 = 0.0384
3.84% of months would have a maximum temperature of 34 degrees or higher