contestada

Pam and Meg each have a picture frame. Pam’s picture frame is a square with an area of 3 square feet. Meg’s picture frame is a circle with a radius of 1 foot. The circumference of Meg’s picture frame is the perimeter of Pam’s picture frame by approximately feet

Respuesta :

Erythrosin17
To determine how many feet does the circumference of Meg's frame to that of the perimeter of Pam, we need to calculate the circumference and the perimeter of the frames. Circumference is the total distance or length of the circle. It is calculated by the expression C = 2πr where r is the radius. Perimeter, on the other hand, is the sum of all the side lengths of a shape. For as square it is equal to the sum of its for sides and is expressed as P = 4s. We calculate as follows:

C =  2πr  =  2π(1 ft) = 2π ft

A = s^2 = 3 ft^2
s = √3 ft
P = 4s = (4)(√3) = 4√3 ft

2π / 4√3 = π/2√3

Therefore, the circumference of Meg’s picture frame is the perimeter of Pam’s picture frame by  π/2√3 or about 0.907.

Answer: So, The circumference of Meg's picture frame is smaller than the perimeter of Pam's picture frame by 0.64 feet.

Step-by-step explanation:

Since we have given that

Area of Pam 's picture frame which is square in shape = 3 sq. ft.

As we know the formula for "Area of square ":

[tex]Area=Side^2\\\\3=Side^2\\\\\sqrt{3}\ ft=Side[/tex]

So, Perimeter of square frame would be

[tex]Perimeter=4\times side\\\\Perimeter=4\times \sqrt{3}\\\\Perimeter=6.93\ ft[/tex]

Radius of Meg's circular frame = 1 foot

So, Circumference of circular frame would be

[tex]2\pi r\\\\=2\times \dfrac{22}{7}\times 1\\\\=\dfrac{44}{7}\\\\=6.29\ ft[/tex]

So, The circumference of Meg's picture frame is smaller than the perimeter of Pam's picture frame by 6.93-6.29=0.64 feet.

Otras preguntas