Final answer:
The area of the extra large pizza is 4 times larger than the area of the small pizza.
Step-by-step explanation:
The question asks how many times larger the area of the extra large pizza is compared to the small pizza at Perry's Pizza Parlor. The formula for the circumference of a circle is C=2πr (where 'C' is the circumference and 'r' is the radius) and the formula for the area of a circle is A=πr^2 (where 'A' is the area and 'r' is the radius).
For the small pizza, given circumference is 10π, we can find the radius will be 5 inches. Using this radius in the area formula, the area of the small pizza is 25π square inches.
For the extra large pizza, given circumference is 20π, we can find the radius is 10 inches. Using this radius in the area formula, the area of the extra large pizza is 100π square inches.
So, the area of the extra large pizza is 4 times larger than that of the small pizza as 100π (extra large pizza area) divided by 25π (small pizza area) equals 4.
Learn more about Area of circles