How to Calculate the Area of a Cheese Pizza Slice
What is the process to calculate the area of each slice of a cheese pizza?
A cheese pizza with a diameter of 30 cm is divided into 6 slices. What is the area of each slice?
Calculation of Cheese Pizza Slice Area
To calculate the area of each slice of a cheese pizza, you can use the formula for the area of a circle. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius of the circle.
Given that the diameter of the pizza is 30 cm, the radius would be half of the diameter, which is 15 cm. Plugging the radius into the formula:
A = π(15)^2 = π(225) = 225π cm^2
Since the pizza is divided into 6 equal slices, we need to divide the total area by 6 to find the area of each slice:
Area of each slice = 225π / 6 ≈ 37.7 cm^2
Explanation of Cheese Pizza Slice Area Calculation
Calculating the area of each slice of a cheese pizza requires understanding the basic formula for the area of a circle and how to apply it to the given pizza dimensions. By determining the radius of the pizza based on its diameter, we can then use the formula A = πr^2 to find the total area of the pizza.
Once we have the total area of the pizza, dividing it by the number of slices allows us to determine the area of each individual slice. In this case, with a 30 cm diameter pizza divided into 6 slices, each slice would have an area of approximately 37.7 cm^2.
Understanding how to calculate the area of pizza slices is not only helpful for dividing and sharing pizzas equally but also provides valuable practice in applying geometry concepts to real-world situations.