Question

Amy is a perfectionist and wants each piece of her cake to be exactly the same area. If the radius of her cake is 6 in and she wants to cut it into 10 pieces, what is the area of the top of each piece of cake? (Round to the nearest tenth)

Answer 1

Radius of Amy cake = 6 in .

Area of circle can be found by the formula A=
`\pi.r^(2).` Where r is radius of circle and π = 3.14

Substituting the values of r and π Area of top of cake = 3.14
`(6^(2))` =113.04 square inches .

Amy divides the cake in 10 parts.

Area of each piece=113.04÷10=11.304 square inches.

Area of each piece = 11.3 square inches(rounded to nearest tenth.)