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.
Percentages are parts of 100, so to convert 0.8% to a decimal, we just divide 0.8 by 100.
0.8 / 100 = 0.008
Dividing by 100 is the same as moving the decimal place two times to the left.
I know D would. I know that E wouldn't. I am sure that B would, and probably A but not 100% sure
(a) The first answer is “A” because 480 / 8 is = 60
(b) a the answer is also “A” because 502 / 8 = 62.5, so it is a underestimate
