Answer:
There are 24 1/6-banana sections in 4 bananas.
Step-by-step explanation:
Here we need to divide 4 bananas into 1/6 banana sections. Dividing 4 bananas by 1/6 is equivalent to multiplying 4 bananas by 6/1:
(4)(6)
-------- = 24
1
There are 24 1/6-banana sections in 4 bananas.
We can say that:
8x = -2ax
8 = -2a
a = -4
22y = - 2by
22 = -2b
b = -11
37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10
With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10
P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0
Solution (1) using angles of sectors:
Area of A = pi r^2 x 90/360 = 4.9
Area of B = pi r^2 x 270/360 = 14.2
Check: Area of A/B = 4.9/14.72 = 1/3 (as given)
Solution (2) using given info:
Area of B + Area of A = area of circle
Area of B + 1/3 Area of B = 3.14 * (2.5)^2 = 19.625
4/3 Area of B = 19.625
Area of B = 3/4 * 19.625
Area of B = 14.72
Area of A = 1/3 * 14.72 = 4.9
There is more solutions to this problem , like polar coordinate integration , and so on. for more just request.
