Question

Rosalinda has a circular serving platter in the middle of her circular table.

The radius of the platter is 15 inches less than the radius of the table
The diameter of the table is 4 feet. What is the difference between the
area of the table and the area of the platter? Use 3.14 for 17, and write your
answer in decimal form. 7.G.4

Answer 1

diameter=4ft=12(4)=48in

• Radius of table=48/2=24in
• Radius of platter=24-15=9in

So

Area of table:-

• π(24)^2
• 576πin²

Area of platter:-

• 9²π
• 81π in²

Difference:-

• 576π-81π
• 495π
• 1554.3in²

Answer 2

1554.3 in²

Explanation:

Given information:

• The radius of the platter is 15 inches less than the radius of the table
• The diameter of the table is 4 feet
• π = 3.14

1 foot = 12 inches

⇒ 4 ft = 4 × 12 = 48 in

Radius = ¹/₂ diameter

⇒ Radius of table = ¹/₂ × 48 in = 24 in

⇒ Radius of platter = 24 in - 15 in = 9 in

Area of a circle = πr²

⇒ Area of table = 3.14 × 24² = 1808.64 in²

⇒ Area of platter = 3.14 × 9² = 254.34 in²

Difference = area of table - area of platter

= 1808.64 - 254.34

= 1554.3 in²