The answer is diameter: 32 in, area: 64 in²
The perimeter of a sector of a circle is:
P = 2r + l
l = r<span>θ
P = 2r + r</span>θ<span>
P = 32 in
32 = 2r + r</span><span>θ
</span>32 - 2r = r<span>θ
</span>θ = (32 - 2r)/r
θ = (2*16 - 2*r)/r
θ = 2(16 - r)/r<span>
Area of the sector of the circle is:
A = r</span>²/2 * θ
A = r²/2 * 2(16 - r)/r
A = r² * (16 - r)/r
A = r(16 - r)
A = 16r - r²
For the maximum area:
A' = 16 - 2r
A' = 0
16 - 2r = 0
16 = 2r
r = 8 in
The diameter (D) of the circle is twice of the radius:
D = 2r = 2 * 8 = 16 in
The maximum area is:
A = 16r - r²
r = 8 in
A = 16 * 8 - 8²
A = 128 - 64
A = 64 in²
Answer:
x= 1/2
Step-by-step explanation:
The correct question is
<span>Sandra needs to buy 21/25 meters of chain for a home project. Which decimal number is equal to the fraction 21/25?
we have that
21/25--------> multiply by (4/4)
(21/25)*(4/4)=(21*4)/(25*4)-----> 84/100------> 0.84
the answer is the option
0.84
</span>
Answer:
4.8%
Step-by-step explanation:
28+12=40
40÷100=0.4
1% - 0.4 teachers
0.4×12=4.8
