Answer:
8 - 2π square units.
π/16 - 1/8 square units.
6π - 9√3 square units.
Step-by-step explanation:
The area of the square = 2√2 * 2√2
= 2*2*2
= 8.
The area of the circle = πr^2
= π * [ ( 2√2)/ 2) ]^2
= π (√2)^2
= 2π.
Second Question:
The area of the circle = π(1/2)^2 = π/4.
Finding the area of the square:
1^2 = 2x^2
x^2 = 1/2
So the area of the square = 1/2
So the area of the red part = 1/4 ( π/4 - 1/2).
= π/16 - 1/8.
Third question
Area of the circle = 6^2 * π = 36π.
Now 60 degrees is 1/6 of 360 degrees so the are of the sector is 6π.
The area of the segment = 6π - 0.5 * 6^2 sin 60
= 6π - 18√3/2
= 6π - 9√3 square units.
--Percent means out of 100, so 20% = 20/100
The prob in other words is asking
-- $60 is 20% of what number?
'$60' -- ---> 60
'is' -- ---> =
20% -- ---> 20/100
'of' -- ---> * (multiply)
'what number' ---> x (variable)
25.3 is what i got for the first image.
That's 4! (faculty), ie., 4x3x2x1 = 24.
one of four can win, then there are 3 left for second place, and so on...
Step-by-step explanation:
the first question
x²+x+5
when x is -4
(-4)²+(-4)+5
16-4+5
12+5
17
hope this was helpful
