Plug in
2(2) + 3(-3) + (-5)
4 + (-9) + (-5)
4 + (-14)
-10
Answer is -10
2x + 3y + z = -10
<ABC= <MNP
...............
(23+10)/2.75 = 12 is the answer
Circumference of a circle - derivation
This page describes how to derive the formula for the circumference of a circle.
Recall that the definition of pi (π) is the circumference c of any circle divided by its diameter d. Put as an equation, pi is defined as
π
=
c
d
Rearranging this to solve for c we get
c
=
π
d
The diameter of a circle is twice its radius, so substituting 2r for d
c
=
2
π
r
If you know the area
Recall that the area of a circle is given by
area
=
π
r
2
Solving this for r
r
2
=
a
π
So
r
=
√
a
π
The circumference c of a circle is
c
=
2
π
r
Yeah, you'd divide 1792 by 32 to get 56.
