Finding the Difference in Area of Two Circular Plates using the Area Formula and Radius Calculation

There are two circular plates. One has a 18 inch diameter. One has a 12 inch diameter. What is the difference between the areas of the two plates, in square inches?

To find the difference between the areas of the two circular plates, we need to calculate the area of each plate and then subtract the smaller area from the larger area

To find the difference between the areas of the two circular plates, we need to calculate the area of each plate and then subtract the smaller area from the larger area.

The formula for the area of a circle is: A = π * r^2, where A is the area and r is the radius.

First, let’s calculate the radius for each plate:
– For the plate with a 18-inch diameter, the radius is half the diameter, so the radius is 18 inches / 2 = 9 inches.
– For the plate with a 12-inch diameter, the radius is half the diameter, so the radius is 12 inches / 2 = 6 inches.

Now, let’s calculate the area for each plate:
– For the plate with a 9-inch radius, the area is A = π * 9^2 = 81π square inches.
– For the plate with a 6-inch radius, the area is A = π * 6^2 = 36π square inches.

To find the difference between the areas, we subtract the smaller area from the larger area:
Area difference = 81π – 36π = 45π square inches.

Now, let’s approximate the answer using 3.14 as an approximation for π:
Area difference ≈ 45 * 3.14 ≈ 141.3 square inches.

Therefore, the difference between the areas of the two plates is approximately 141.3 square inches.

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