Answer:
Step-by-step explanation:
(1) As definition, the area (
) of a circle is calculated by:
x 
with 
is radius of circle.
(2) The relation between radius () and diameter (
) of a circle is:
= 2 x
(3) Applying the Pythagorean theorem for a square with sides of length 
,
the relation between side and diagonal 
is:
=> The diagonal () of that square is calculated by:
= 
(4) The square fits exactly inside a circle, with each of its vertices being on the circumference of the circle.
Applying the theorem of inscribed angle in a circle, the measure of arc BD is twice as the measure of inscribed angle BAD.
In other words, the measure of arc AC = 2 x 90 = 180 deg, or half of circle.
It means that the diagonal BD is coincide with a diameter of circle.
=> 
or 
x =
or = 
Substitute back into original formula used for calculating the area of circle:
=> A = 
x 
= x 
=> 
x 
=> 
x 
= 
x = 5.97 cm
Hope this helps!
:)
Answer: 13. yes 14. no
Step-by-step explanation:
13. same angles sized down
14. different angles sized down
Answer:
x= 60°, y = 80°, z = 40°
Step-by-step explanation:
Look at the line substending 40° and Z°; you would see that both lines are parallel and so their angles are they the same.
Hence z= 40° { corresponding angles of parallel lines}
Similarly;
Look at the line substending 60° and x°; you would see that both lines are parallel and so their angles are they the same.
60° = x° { corresponding angles of parallel lines}
Now looking at the angle between x and y; let's call the angle between them r
And you would observe closely that r = z° = 40°{ vertically opposite angles are equal}
Note that x + r + y = 180°{ angle on a straight line}
y = 180° - ( x + r)
y = 180 - (60+40)
y = 180° - 100°
= 80°
Answer:
ur answer
hope u will finish it fast
Answer:
No, modern train cannot travel on old railroad.
Step-by-step explanation:
In rail transport, track gauge is the spacing of the rails on a railway track and is measured between the inner faces of the load-bearing rails.
Most of the modern train are based on broad gauge. The separation in broad gauge is about 5 ft and 6 inches and in the standard gauge the separation between the tracks is 4 ft and 
inches. So for the modern train it is not possible to travel on the tracks whose separation is no more than 4.5 feet.
