At a carnival Kelsey gets to spin a prize wheel it has the diameter of 34 inches what is the prize wheels area
The radius of the prize wheel is half the diameter, which is 17 inches.
The area of a circle is calculated using the formula A = πr^2, where π (pi) is a mathematical constant approximately equal to 3.14.
So, the area of the prize wheel is:
A = πr^2
A = 3.14 x 17^2
A = 3.14 x 289
A = 907.06 square inches
Therefore, the prize wheel's area is approximately 907.06 square inches.
To find the area of a circle (which will be the same as the area of the prize wheel), you can use the formula: A = πr^2, where A is the area and r is the radius.
Given that the diameter of the prize wheel is 34 inches, the radius (r) can be calculated by dividing the diameter by 2:
r = 34 inches / 2 = 17 inches
Now we can substitute the value of r into the formula:
A = π * (17 inches)^2
Calculating this:
A ≈ 3.14 * (289 square inches)
A ≈ 906.26 square inches
Therefore, the area of the prize wheel is approximately 906.26 square inches.