Question

Question 10 (2 points)

A square table 4 feet on each side has two drop leaves, each a semicircle 4 feet in diameter.
Find the area of the table with and without the drop leaves.
1) With Drop Leaves (Semicircles are attached to table) =
ft. 2
2) Without Drop Leaves (Semicircles are not attached to table)
ft 2
4 ft
|4ft

Answer 1

Area of table with leaf = 28.56 feet²

Area of table without leaf = 16 feet²

Explanation:

Given:

Side of square table = 4 feet

Diameter of side leaf = 4 feet

Number of semicircle leaf = 2

Find:

Area of table without leaf

Area of table with leaf

Computation:

Area of square = Side x Side

Area of table without leaf = 4 x 4

Area of table without leaf = 16 feet²

Radius of side leaf = Diameter of side leaf / 2

Radius of side leaf = 4 / 2

Radius of side leaf = 2 feet

Area of table with leaf = Area of table without leaf + 2[πr²/2]

Area of table with leaf = 16+ 2[πr²/2]

Area of table with leaf = 16+ (3.14)(2)²

Area of table with leaf = 16+ (3.14)(4)

Area of table with leaf = 16+ 12.56

Area of table with leaf = 28.56 feet²