Question

pam and meg each have a picture frame.Pam's picture frame is a square root with an area of 3 ft .Megs picture frame is a circle with a radius of 1 foot. the circumstance of meg's picture frame is? the perimeter of Pam's frame by approximately?feet

Answer 1

Step 1: For answering this question, we need to recall two important formulas:

A. Formula of the area of a square

B. Formula of the area of a circle

`\text{Area of the square = side length }\ast\text{ side length}`

Step 2: Now, we know that Pam's picture frame area is 3 square feet, now let's use the formula to calculate the side length, as follows:

`\text{ 3 = Side length}^2\text{ }\Rightarrow\text{ }√(3)\text{ = side length}`

Step 3 : We are ready to calculate the area of Meg's circle picture frame, as follows:

`\text{Area of the circle = }\pi\ast r^2`

If the radius of the picture frame is 1 feet, the area is: 3.14 * 1 * 1 = 3.14 square feet

Step 4: Now, we need to calculate the perimeter of both frames. Let's start with Pam's picture frame. The formula for the perimeter of a square is:

Perimeter of a square = 4 * Side length

We replace the value of the side length, that we calculated on Step 2.

Perimeter of Pam's square = 4 * √3 = 4 * 1.732 = 6.93 feet

Step 5: Finally, we calculate the circumference of Meg's picture frame, using the formula of the circumference, as follows:

`\text{ Circumference of a circle = 2 }\ast\pi\ast r`

Replacing with the values we know:

Circumference = 2 * 3.14 * 1 = 6.28 feet

The correct answer is that the circumference of Meg's picture frame is 6.28 feet and the perimeter of Pam's picture frame by approximately 6.93 feet