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2 years ago

Which explanation justifies how the area of a sector of a circle is derived?.

Mathematics

1 answer:

kifflom [539]2 years ago

7 0

Step-by-step explanation:

We know the area of a circle is

$\pi {r}^{2}$

That is when the cricle is 360 degrees full, so another formula is

$\frac{360}{360} \pi {r}^{2}$

If we the find the area of the sector with angle x, then that formula will be

$\frac{x}{360} {\pi}r^{2}$

You might be interested in

The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm

Fed [463]

Answer:

Length = 15 cm, width = 12 cm, Perimeter = 54 cm

Step-by-step explanation:

The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm².

Length = 5x

Breadth = 4x

Area of rectagle,

A = bl

180 = 5x × 4x

180 = 20x²

x² = 9

x = 3

Length = 5x = 5(3) = 15 cm

Width = 4x = 4(3) = 12 cm

Perimeter of rectangel,

P = 2(l+b)

= 2(15+12)

= 54 cm

Hence, this is the required solution.

6 0

3 years ago

A movie collector has 105 movie posters and 90 band posters if she sells 21 movie posters then how many band posters should she

kotykmax [81]

Hi there! :)

Answer:

In order to maintain the same ratio, she should sell 18 band posters.

Step-by-step explanation:

Initial ratio:

Ratio is: 105 movie posters for 90 band posters = 105 : 90

She sells 21 movie posters, which means that we are left with 105 movies minus the 21 she sold.

105 - 21 = 84 → She now has 84 movie posters.

In order to answer your question, you'll need to use the cross product method:

105 movie posters → 90 band posters

84 movie posters → X

(90 × 84) ÷ 105 = X

7,560 ÷ 105 = X

72 = X ⇒ Number of band posters she should have left to maintain the same ratio.

She has 90 band posters :

90 - X = 72

Add "X" to each side of the equation → 72 + X = 72 + X

90 = 72 + X

Subtract 72 from each side of the equation → 90 - 72 = 18

18 = X

There you go! I really hope this helped, if there's anything just let me know! :)

4 0

4 years ago

720,080 in expanded form with exponents. (7*10^5)+

patriot [66]

Answer: 700,000 + 20,000 + 80 = 720,080

Step-by-step explanation:

6 0

3 years ago

-3x -4y = 20 x - 10y =16 if (x, y) is the solution to the system of equations above what is the value of x?

balu736 [363]

Multiply first equation by -5 and 2nd by 2, add them

15x+20y=-100
2x-20y=32 +
17x+0y=-68

17x=-68
divide both sides by 17
x=-4

the x value is -4

6 0

3 years ago

1. What is an equivalent expression for

ipn [44]

Answer:

i am so confused right now :)::):::)::):))

Step-by-step explanation:

5 0

3 years ago