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melamori03 [73]
3 years ago
10

A regular polygon inscribed in a circle can be used to derive the formula for the area of a circle. The polygon area can be expr

essed in terms of the area of a triangle.
Let s be the side length of the polygon,


let r be the hypotenuse of the right triangle,


let h be the height of the triangle, and


let n be the number of sides of the regular polygon.




polygon area = n(12sh)





Which statement is true?



As r increases, the area of the regular polygon approaches the area of the circle.


As n increases, the area of the regular polygon approaches the area of the circle.


As s increases, the area of the regular polygon approaches the area of the circle.


As h increases, the area of the regular polygon approaches the area of the circle.

Mathematics
2 answers:
Marta_Voda [28]3 years ago
8 0
As n increases, the area of the regular polygon approaches the area of the circle I believe
Aleks04 [339]3 years ago
5 0

Answer:

As n increases, the area of the regular polygon approaches the area of the circle.

Step-by-step explanation:

A regular polygon inscribed in a circle can be used to derive the formula for the area of a circle.

The polygon area can be expressed in terms of the area of a triangle.

Let s denote the side length of triangle.

r hypotenuse of right triangle.

h height of the triangle.

let n be the number of sides of the regular polygon.

The area of polygon is given by:

polygon area = n(12sh)

The correct statement is:

As n increases, the area of the regular polygon approaches the area of the circle.

" Since, as the number of sides of the polygon increases the polygon start approaching to the circumference of circle and as n tends to infinity the polygon will tend to take the shape of the circle "

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yanalaym [24]

let the length of each shorter side be x

length of longer side= x+14

2(x+14) + 2x = 48

2x + 28 + 2x = 48

4x + 28 = 48

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3 0
3 years ago
2/3x-2=7 answer…………………
marishachu [46]

Answer:

Enter a problem...

Algebra Examples

Popular Problems Algebra Solve for x 2/3x-2=7

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2 years ago
What is the width of a rectangle with length 5.5 cm and area 220 cm^2
Reika [66]
In the given question it is given that the length of the rectangle is 5.5 cm and the area of the rectangle is 220 cm^2.
Length of the rectangle = 5.5 cm
Area of the rectangle = 220 cm^2
Then we already know that
Area of a rectangle = Length * width
So Width of the rectangle = Area of the rectangle/ Length
                                           = 220/5.5
                                           = 2200/55
                                           = 40
So the width of the rectangle is 40 cm.<span>Hope  that you have got the answer you were looking for.

</span>


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