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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.

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.

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

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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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