Final answer:
To determine how much more area is in a 10-inch radius pizza than an 8-inch one, calculate the area of both and subtract the smaller from the larger. The difference is approximately 113.1 square inches.
Step-by-step explanation:
To find out how much more area is in a pizza with a radius of 10 inches compared to one with a radius of 8 inches, we use the formula for the area of a circle, which is A = πr². First, calculate the area of both pizzas:
- For the 10-inch pizza: A = π(10 in)2 = 100π square inches.
- For the 8-inch pizza: A = π(8 in)2 = 64π square inches.
Next, subtract the smaller area from the larger area to find the difference:
Difference in area = 100π - 64π = 36π square inches.
Using the approximation π ≈ 3.14, we get:
Difference in area ≈ 36(3.14) square inches ≈ 113.04 square inches.
Finally, round to the nearest tenth:
The pizza with a 10-inch radius has about 113.1 square inches more area than the one with an 8-inch radius.