An arc of a circle measures 80 degrees and the length of 88pie cm. what is the diameter?

1 answer:

kondor19780726 [428]3 years ago

5 0

If 80° ------> 88π cm
Then 360° ------> x cm

So:

x = (88π x 360) ÷ 80
x = 396 π (lenght of the circle)

The relationship of Lenght of circle and its diameter is:

L = d .π

replacing L:
396 π = d.π ----> d = 396 cm <---- here is your answer

You might be interested in

Round 68.09 to 2 Sf please

marta [7]

68
I hope you understand this

4 0

2 years ago

If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area

grin007 [14]

Answer:

$\huge\boxed{SA=2466\ (mm^2)}$

Step-by-step explanation:

The formula of a Surface Area of a rectangular prisms:

$SA=2(lw+lh+wh)$

l - length

w - width

h - height

We have:

$l=39mm;\ w=12mm;\ h=15mm$

Substitute:

$SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)$

5 0

3 years ago

A square carpet of side length 9 feet is designed with one large shaded square and eight smaller, congruent shaded squares, as s

Pepsi [2]

Answer:

$3\sqrt{3} + 72$

Step-by-step explanation:

I attached an image to aid the understanding of the question.

Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:

$9 \times 8 = 72ft^{2}$

It remains the area of the shaded square with side S.

From the question, we have the following ratio:

$\frac{9}{S} = \frac{S}{T}[\tex]But[tex]\frac{9}{S} = \frac{S}{3}[\tex]Multiplying through by 3S we have27 = S² and this gives:[tex]S = \sqrt{27} = 3\sqrt{3}$