Answer:
Sector
Step-by-step explanation:
To solve the area of a shaded region of a circle, if the shaded region is like a slice of pie (from the center out), then you need to know the angle from the center of the shaded region, call the angle n˚. If we have that n˚ angle, we are working with n˚ of the 360˚ in the circle, or n˚/360˚, which simplifies to n/360 (the ˚ symbols cancel out). We then would need to find the area of the circle (πr^2) and multiply it with the fraction of the circle we are working with (n/360), so your equation for a slice of the circle would be nπr^2/360 where n is in degrees. Now, if you just want the “crust” of the pie (so, the area between to points on the arc defined by the slice), then we can find the area of the triangle defined by the origin and the 2 points on the circle. 2 of the side lengths of the triangle are the radius, and we know the measure of the angle of the slice, so we can use the law of cosines (C^2=A^2+B^2–2ABcos(c)) to figure out the base, then use the equation
Area=(s-r)sqrt(s(s-C)) where s is half the perimeter of the defined triangle (this is what we get when we plug in r for 2 of the side lengths. If you are not familiar with the method of finding the area of a triangle, I would recommend searching Heron’s formula. The proof is interesting). Finally, we subtract this area from the area of the already found full slice and you have it!
Answer:
200+100m
Step-by-step explanation:
Simplified by collecting like terms
The daily rainfall during two April weeks was: 1, 0.5, 0.3, 0, 0 ,0, 1.2, 3, 0, 1.1, 0.7, 2, 1.3, 2 inches. What was the median
Leokris [45]
The answer is 0.85 inches.
The median is not the same as the mean (which is usually average).
The mean is the sum of all data divided by the number of data. So, <u>the mean of these numbers would be 0.94:</u>
(1 + 0.5 + 0.3 + 0 + 0 + 0 + 1.2 + 3 + 0 + 1.1 + 0.7 + 2 + 1.3 + 2)/14 = 13.1/14 = 0.94
But we need the median which is the middle value. To find the median, first rearrange the data from the lowest to the highest value. If there is an odd number of data, then the median is the value in the middle. If there is an even number of data, then the median is the mean of the two values that are in the middle.
Calculation of the median:
Step 1. Rearrange the data from the lowest to the highest value.
0, 0, 0, 0, 0.3, 0.5, 0.7, 1, 1.1, 1.2, 1.3, 2, 2, 3
Step 2. Since zhere is the even number of data, find two values in the middle and calculate their mean:
0, 0, 0, 0, 0.3, 0.5, 0.7, 1, 1.1, 1.2, 1.3, 2, 2, 3
7th and 8th values are in the middle. There mean is:
(0.7 + 1)/2 = 1.7/2 = 0.85
Therefore, the median of the data <span>1, 0.5, 0.3, 0, 0 ,0, 1.2, 3, 0, 1.1, 0.7, 2, 1.3, 2</span> is 0.85.
