Chris ate 1/8 of a pie with a 14in diameter. What is the area of the remaining portion? For pi use 3.14
Find total area of pie using the diameter and the equation (3.14)r^2
Divide the total area by 8 and multiply by 7 to get the remaining pie.
A1 = pi * r^2 = 3.14 * 7^2 = 153.86 in^2 = area before it was cut.
A2 = A1 - A1/8 = 153.86 - 153.86/8 = area remaining.
To find the area of the remaining portion of the pie, we need to calculate the area of the whole pie and then subtract the portion that Chris ate.
Step 1: Calculate the area of the whole pie
The area of a circle is given by the formula: A = πr^2, where A is the area and r is the radius. Since we are given the diameter, we first need to find the radius.
Given: Diameter = 14 inches
Radius = Diameter/2 = 14/2 = 7 inches
Now, we can calculate the area of the whole pie:
A = π * (7 inches)^2 = 3.14 * 7^2 = 3.14 * 49 = 153.86 square inches (rounded to two decimal places)
Step 2: Calculate the portion Chris ate
Chris ate 1/8 of the pie. To find the area of this portion, we need to divide the area of the whole pie by 8.
Portion Chris ate = 1/8 * 153.86 square inches = 19.23 square inches (rounded to two decimal places)
Step 3: Calculate the area of the remaining portion
To find the area of the remaining portion, we subtract the portion Chris ate from the area of the whole pie:
Area of remaining portion = Area of whole pie - Portion Chris ate
Area of remaining portion = 153.86 square inches - 19.23 square inches = 134.63 square inches (rounded to two decimal places)
Therefore, the area of the remaining portion of the pie is approximately 134.63 square inches.
To find the area of the remaining portion of the pie, we first need to calculate the area of the whole pie and then subtract the area that Chris ate.
The formula to find the area of a circle is:
Area = π * r^2
Here, the diameter of the pie is given as 14 inches. The radius (r) of the pie can be calculated by dividing the diameter by 2:
r = 14 inches / 2 = 7 inches
Substituting the value of r into the formula, we get:
Area = 3.14 * (7 inches)^2
Area = 3.14 * 49 square inches
Area = 153.86 square inches
Now, to find the area of the portion Chris ate, we multiply the area of the whole pie by the fraction eaten, which is 1/8:
Area eaten = (1/8) * 153.86 square inches
Area eaten = 19.2325 square inches (approximately)
Finally, to find the area of the remaining portion, we subtract the area eaten from the area of the whole pie:
Area remaining = Area of whole pie - Area eaten
Area remaining = 153.86 square inches - 19.2325 square inches
Area remaining = 134.6275 square inches (approximately)
Therefore, the area of the remaining portion of the pie after Chris ate 1/8 of it is approximately 134.63 square inches.