I'm assuming a quarter-circle is exactly 1/4 of a circle. Thus if you have 4 congruent quarter-circles, that should mean they make a complete circle.
If that is the case, then we can find the area of the full circle using pi*r^2.
So the area of the circle is 5^2*pi or 25pi.
To find the area of the shaded region, we subtract the area of the circle from the area of the square.
The area of the square is 10^2 or 100.
So the area of the shaded region is 100 - 25pi.
My calculator says that equals roughly 21.46
The longest side
Think about it. The widest angle would leave a resulting long side to reach the ends of the angle
If you look at the picture, the side across from the widest angle has the longest length
200m - 100m + 48,250 = 50,250 - 150m
(Add or subtract common variables)
100m + 48,250 = 50,250 - 150m
(Add 150m to both sides)
250m + 48,250 = 50,250
(Subtract 48,250 to both sides)
250m = 2000
(Divide 250 to both sides to isolate m)
m = 8
60 = 5k/7
420 = 5k
84 = k
m = 10(84)/10
m = 84
Hope this helps!
Answer:
y = -13
Step-by-step explanation:
3(y + 5) - (4y - 8) = -2y + 10
3y + 15 - 4y + 8 = -2y + 10
Collect like terms
3y - 4y + 2y = 10 - 15 - 8
y = -13
