The size of a pancake is measured by its radius. The corner shop charges $12 for a 3-inch personal pancake. The largest pancake is a 6-inch pancake that costs $20. How many times larger is the area of the largest pancake than the personal pancake? A. 2 B. 3 C. 4 D. 6

C. 4

Step-by-step explanation:

A pancake is circular in shape

Hence, the area of a circle = πr²

HenceThe corner shop charges

a) $12 for a 3-inch personal pancake.

For personal pancake

r = 3 inches

πr² = π × 3²

= 28.274333882 square inches

= 28.3 square inches

b) The largest pancake is a 6-inch pancake that costs $20.

For Largest pancakes

r = 6 inches

πr² = π × 6²

= 113.09733553 square inches

Approximately = 113.1 square inches

How many times larger is the area of the largest pancake than the personal pancake?

This is calculated as :

Largest pancake/Personal pancake

= 113.1/28.3

3.9964664311 inches

Approximately = 4

Option C is the correct option

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answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.