Mai Valentine planned to prepare a cake for Valentine's Day. While sketching out shapes and polygons, she thought about creating a heart shape, which resembles a combination of 3 semicircles of radii , and , where . Joey Wheeler wants to take a limb as indicated by the dashed line. He claims that
After removing a limb, the new shape's area is half the original area of the heart.
What is the ratio of to that satisfies the given statement?
This is the end of the first chapter of thestory. Check the following chapter directory if you are interested: