Riley is placing the game board shown on his bedroom wall. What area of the wall will the game board cover? Use 3.14 for π and round to the nearest whole square foot.

Riley is placing the game board shown on his bedroom wall. What area of the wall will the game board cover? Use 3.14 for π and round to the nearest whole square foot. The diameter of the board is 2.5 feet.

The Area of the wall that the game will cover is 5 sq. cm.

Here's how

The Area of the circle is calculated by

A = πr²

As we all know,

radius = Diameter / 2 ==> r = 2.5 / 2 => 1.5

So, the radius of the circle is 1.25 ft.

A = π x 1.25 x 1.25

A = 3.14 x 1.25 x 1.25

A = 3.14 x 1.5625

A = 4.90625

So, the Area of the wall that the game will cover is 4.90625 sq. cm.

Area and Perimeter of a Circle

The area and perimeter of a circle can be calculated using its radius or diameter.

Area of a Circle:

Area = π * radius^2

Perimeter (or Circumference) of a Circle:

Perimeter = 2 * π * radius

If you have the diameter (D) of the circle instead of the radius (r), you can use these formulas:

Area:

Area = π * (Diameter/2)^2

Perimeter (or Circumference):

Perimeter = π * Diameter