Question

5. The circumference of a circle and the perimeter of a square are each 50 cm. Which figure has the greater area?

Answer 1

Answer:

The circle has a greater area

Step-by-step explanation:

First, we are going to calculate the area of the square.

We know that it's perimeter is 50 cm, so the side of the square is:

50/4 = 12.5 cm

The area of the square is:

A = s^2

A = 12.5^2 = 156.25 cm^2

Now with the circle.

The circumference lenght is: L = 2πr

The radius is: r = L/2π

r = 50 / 2*3.14

r = 7.96 cm, which I'll round this value to 8 cm.

To get the Area of a circle:

A = πr^2

A = 3.14 * 8^2

A = 200.96 cm^2

Therefore, the area of the circle is greater than the square