Answer:
option (A) "r".
Step-by-step explanation:
Length of the shape formed by the sectors is which is half of the perimeter of the given circle, with the radius r.
Circle is divided in eight sectors and arranged horizontally as shown in the figure.
Therefore, height of each sector will be equal to the radius "r" of the circle.
Answer is option (A) "r".
Answer: a) + = 1
b) The distance of two foci is 85.4 feet
c) Area = 3502.67 square feet
Step-by-step explanation: a) An ellipse has the equation in the form of:
+ = 1, where a is the horizontal axis and b is the vertical axis.
For the Statuary Hall, a = = 48.5 and b = = 23, so the equation will be
+ = 1.
b) To determine the distance of the foci, we have to calculate 2c, where c is the distance between one focus and the center of the ellipse. To find c, as a, b and c create a triangle with a as hypotenuse:
=
c =
c = 42.7
The distance is 2c, so 2·42.7 = 85.4 feet.
The two foci are 85.4 feet apart.
c)The area of an ellipse is given by:
A = a.b.π
A = 48.5 · 23 · 3.14
A = 3502.67 ft²
The area of the floor room is 3502.67ft².
D is the most reasonable as the other 3 answers are improbable.
Answer:
1236 sq. m
explanation:
Side of square field = 100m
Area of the square field = side * side
= 100 * 100
= 10,000 sq. m
A path of 3m wide is built outside and along the boundary.
Side of path = 100(from the side of field) + 3(from the upper side) + 3(from below)
= 100 + 6
= 106 metres.
Area of the along with whole square path with side 106m = side * side
= 106 * 106
= 11,236sq.m
Now, Area of whole square = Areas of square field + area of path
therefore, Area of the path only = 11,236 - 10,000
= 1,236sq.m