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Kruka [31]
3 years ago
10

The area of a circle is 28.26 square centimeters. What is the circle’s diameter?

Mathematics
1 answer:
ikadub [295]3 years ago
4 0

Answer:

The circle's diameter is 6cm

Step-by-step explanation:

A = 28.26 cm^2

D = \sqrt[2]{\frac{A}{\pi } }

D = \sqrt[2]{\frac{28.26}{\pi } }

D = 6cm

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a hexagon inscribed in a circle has three consecutive sides each of length 3 and three consecutive sides each of length 5. the c
allochka39001 [22]

According to given conditions, m+n is equal to 409.

Consider the diagram below.

In the hexagon ABCDEF, let

AB = BC = CD = 3;

DE = EF = FA = 5;

Arc BAF is equal to one-third of the circle's circumference.

Hence, ∠BCF = ∠BEF = 60°;

Similarly, ∠CBE = ∠CFE = 60°;

Let the point of intersection of BE and CF be P, BE and AD be Q and CF and AD be R.

∴ Δ EFP and Δ BCP are equilateral, and so Δ PQR is also equilateral.

Also, ∠ BAD and ∠ BED subtend the same arc and so do ∠ ABE and ∠ ADE.

∴ Δ ABQ is similar to Δ EDQ

\frac{AQ}{EQ}  = \frac{BQ}{DQ} = \frac{AB}{ED} = \frac{3}{5}

Also,

\frac{\frac{AD - PQ}{2} }{PQ + 5} = \frac{3}{5}  

and \frac{3 - PQ}{\frac{AD + PQ}{2} }  = \frac{3}{5}

On solving these simultaneous equations, we get AD = 360/49

∴ m + n = 409.

To learn more about similarity of triangles, refer to this link:

brainly.com/question/25882965

#SPJ4

4 0
1 year ago
PLEASE HELP ME ASAP!!
solong [7]
We have to find midpoint M of the diagonal AC (or BD, there is no difference) so:

M=\left(\dfrac{x_A+x_C}{2},\dfrac{y_A+y_C}{2}\right)=\left(\dfrac{-2+4}{2},\dfrac{4+(-2)}{2}\right)=\left(\dfrac{2}{2},\dfrac{2}{2}\right)=\\\\\\=\boxed{(1,1)}
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3 years ago
9. A box contains three disks painted gold (81,82,83), three disks painted silver (s1, 32, 33) and one
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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

y = -4x^2 + 4x + 6

Factor out the leading coefficient:

y = -4(x^2 - x) + 6

Complete the square:

y = -4(x^2 - x + (½)^2) + 4(½)^2 + 6

= -4(x-½)^2 + 7

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3 years ago
3 pounds cost $15. How many pounds can you buy for $45?
morpeh [17]

Answer:

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