6th Grade Solving for Arched 2D Areas: Problem 4

Problem: In the 3x3 grid, three quarter circles are made with points A, E, and F as each of their center points respectively. S_1 is the space between the arc made by the quarter circle with point A as its center point and the arc made by the quarter circle with point E as its center point. S_2 is the space between the arc made by the quarter circle with point E as is center point and the arc made by the quarter circle with point F as its center point. What is S_1:S_2?

Key: Express the irregular areas using the formulas you would use to find the areas of regular shapes

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