a circle with a radius of 3cm sits inside a 8cm x7cm rectangle. what is the area of the shaded region?
1 answer:
Answer:
27.73 square centimeters
Step-by-step explanation:
<em>Assume the shaded region is the area outside the circle but inside the rectangle.</em>
<em />
Now, we need to find the area of rectangle and area of circle. Then we will subtract area of circle from area of rectangle to get our desired answer.
Area of Rectangle = length * width
Area of Rectangle = 8 * 7 = 56
Area of circle is given by the formula:
Area =
Where r is the radius, which is 3
So,
Area of Circle =
Thus, area of the shaded region is:
Area of Shaded Region = 56 - 28.27 = 27.73 square centimeters
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Step-by-step explanation:
3/35 ÷ 9/10
~Copy Dot Flip
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Best of Luck!
Answer:
When we have a function f(x), the average rate of change in the interval (a, b) is:
In this case, we have the function:
f(x) = (x + 3)^2 - 2
(but we do not have the interval, and I couldn't find the complete question online)
So if for example, we have the interval (2, 4)
The average rate of change will be:
If instead, we want the rate of change in a differential dx around the value x, we need to differentiate the function (this is way more complex, so I will define some rules first).
Such that the rate of change, in this case, will be:
f'(x) = df/dx
For a function like:
g(x) = x^n + c
g'(x) = n*x^(n - 1)
And for:
h(x) = k( g(x))
h'(x) = k'(g(x))*g'(x)
So here we can write our function as:
f(x) = k(g(x)) = (x + 3)^2 - 2
where:
g(x) = x + 3
k(x) = x^2 - 2
Then:
f'(x) = 2*(x + 3)*1 = 2*x + 6
That is the rate of change as a function of x (but is not an "average" rate of change)