An apple pie has a 12 inch diameter and the angle of one slice is 60 degrees. What is the area of that slice of pie? Use 3.14 for
A. 14.13 square inches
B. 75.36 square inches
C. 36 square inches
D. 18.84 square inches
E. 0.52 square inches
1/6 * pi * (12/2)^2
(D)
To find the area of a slice of pie, we can use the formula:
Area of a slice of pie = (angle/360) * π * r^2,
where angle is the central angle of the slice in degrees, π is approximately 3.14, and r is the radius of the pie.
Given that the diameter of the pie is 12 inches, the radius is half the diameter, so r = 12/2 = 6 inches.
Substituting the values into the formula, we get:
Area of the slice = (60/360) * 3.14 * 6^2
= (1/6) * 3.14 * 36
= 0.5236 * 36
≈ 18.84 square inches.
Therefore, the area of the slice of pie is approximately 18.84 square inches.
The correct answer is D. 18.84 square inches.
To calculate the area of the slice of pie, we need to find the area of the sector formed by the given angle.
First, we need to find the radius of the pie. The diameter is given as 12 inches, and the radius is half the diameter. So, the radius is 12 / 2 = 6 inches.
Next, we need to find the area of the sector. The formula to calculate the area of a sector is:
Area of sector = (θ / 360) × πr^2
Where θ is the angle in degrees, π is a mathematical constant approximately equal to 3.14, and r is the radius of the sector.
Now, let's plug in the given values into the formula:
Area of sector = (60 / 360) × 3.14 × (6)^2
= (1/6) × 3.14 × 36
= 0.5236 × 3.14 × 36
= 5.2356 × 36
= 188.4856 square inches
So, the area of the slice of pie is approximately 188.4856 square inches.
From the given choices, the closest answer is D. 18.84 square inches.