Answer: The shaded area is 99.55 units squared.
Step-by-step explanation:
r = 3.2
Now, we can see that the sides of the square are equal to two times the diameter of the circles (or four times the radius of the circles), so the length of the sides of the square is:
L = 2*(2*3.2) = 12.8
The area of the square is A1 = L^2 = 12.8*12.8 = 163.84 units squared.
the shaded semicircle has a diameter of 4 times r (so the radius is 2 times r), and the area is equal to half the area of a circle:
A2 = (1/2)*pi*(2r)^2 = (1/2)*3.14*(6.4)^2 = 64.31 units squared.
And now we must subtract the area of the four smaller circles inside the square, the area of each one is:
A3 = pi*r^2 = 3.14*(3.2)^2 = 32.15 units squared.
Then the shaded area is:
A = A1 + A2 - 4*A3 = 163.84 + 64.31 - 4* 32.15 = 99.55 units squared.
Answer: 1/8
Step-by-step explanation:
1 - 0 = 1
0 - 8 = 8
m = 1/8
Answer:
B = 53.13
Step-by-step explanation:
Since this is a right triangle, we can use the tan function
tan B = opposite side/ adjacent side
tan B = 4/3
Take the inverse tan of each side
tan ^-1 (tan B) = tan^-1 (4/3)
B = 53.13010235
To the nearest hundredth
B = 53.13
The formula for radius is
.
First we need to see what 8*π is, put it in your calculator and you will get . So now we know the exact circumference, so now put that into the equation to find the radius.

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY!
- Cutiepatutie ☺❀❤