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:
The answer is A.
Step-by-step explanation:
This operation is a product of tho elements
The first is the difference between 'm' and 'n'
The last is the sum of 'm' and 'n'
<h3>
Answer: w = 31</h3>
===================================================
Explanation:
For any triangle, the interior angles always add to 180
(angle1)+(angle2)+(angle3) = 180
(w) + (4w-6) + (w) = 180
(w+4w+w) - 6 = 180
6w - 6 = 180
6w - 6+6 = 180+6 .... adding 6 to both sides
6w = 186
6w/6 = 186/6 ..... divide both sides by 6
w = 31
------------------------------------
Extra info:
This value of w leads to
4w-6 = 4*31-6 = 118
The three angles of the triangle are: 31, 118, 31
Because we have two congruent angles, this means the triangle is isosceles. The sides opposite the congruent angles are the same length.
Answer:
Yes because sum of 2 line segment is greater than the third side
Step-by-step explanation:
Answer:
In the picture.
Step-by-step explanation:
Note : From 1 to 12 it's the same idea but without variables (very easy) so , just do the same idea.
I solved the problems contained variables
I hope that it's a clear explanation.
