# 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.

Catch a glimpse of Riley's unique style as he fits the game board on his bedroom wall, occupying an area of approximately X square feet, rounded to the nearest whole.

by Maivizhi A

**Updated **Mar 06, 2024

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## 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.

Given that the game board is circular and has a radius of 1.25 feet, we can find the area of the wall it will cover using the formula for the area of a circle:

Area of circle = π * radius^2

Here, π (pi) is approximately 3.14 and the radius is 1.25 feet.

Plugging in the values:

Area = 3.14 * (1.25)^2

Area ≈ 4.91 square feet

Since we need to round the answer to the nearest whole square foot, the area of the wall the game board will cover is approximately 5 square feet.

## 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

## 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 - FAQs

### 1. What formula can be used to find the area of the game board covering Riley's wall?

The formula for the area of a circle: Area = π * radius^2.

### 2. What is the value of π to be used in calculating the area of the game board?

The value of π is approximately 3.14.

### 3. How should you round the calculated area of the game board?

Round to the nearest whole square foot.

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