brayden stated that a flying disc had a circumference of 43.96 in. Eliza wanted to find the area of the same flying disc. what is the area of the flying disc rounded to the nearest whole number? Both brayden and eliza used 3.14 for pi
108 inches
395 inches
615 inches
154 inches
154 inches
To find the area of a flying disc, we need to use the formula A = πr^2, where A represents the area and r represents the radius of the disc.
First, let's find the radius of the flying disc. The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Given that the circumference is 43.96 inches, we can plug in the values and solve for r:
43.96 = 2 * 3.14 * r
Divide both sides by 2 * 3.14:
r = 43.96 / (2 * 3.14)
r ≈ 7 inches (rounded to the nearest whole number)
Now that we have the radius, we can calculate the area using the formula:
A = 3.14 * (7)^2
A ≈ 3.14 * 49
A ≈ 154.06 square inches (rounded to two decimal places)
Rounded to the nearest whole number, the area of the flying disc is 154 inches (Option D).
To find the area of the flying disc, we can use the formula for the area of a circle.
The formula for the area (A) of a circle is given by A = π * r^2, where r is the radius of the circle.
In this case, we are given the circumference (C) of the flying disc as 43.96 inches. The circumference of a circle is given by C = 2π * r.
We can rearrange the equation for the circumference to solve for the radius:
C = 2π * r
43.96 = 2 * 3.14 * r
r = 43.96 / (2 * 3.14)
r ≈ 6.993
Now that we have the radius, we can find the area of the circle:
A = π * r^2
A ≈ 3.14 * (6.993)^2
A ≈ 3.14 * 48.902049
A ≈ 153.487
Rounding the area to the nearest whole number, the area of the flying disc is approximately 153 inches. Therefore, the answer is 154 inches.