Kiley is replacing the top of a circular table with glass. The circumference of the table is between 6.28 feet and 12.56 feet. According to the graph, what is the range of areas of round glass she might need?

Kiley would need glass of area between 3.14 and 12.56 square feet

Step-by-step explanation:

The Circumference of the circle is given by 2πr where “r” is the radius

Range of the circle’s circumference- 6.28 feet to 12.56 feet

Considering lowest radius as r₁ and the largest as r₂

2πr₁= 6.28

∴r₁= 6.28/(3.14*2) = 1 feet

Similarly

⇒2πr₂=12.56/(3.14*2)=2 feet

We know that area of the circle is given by πr ²

Area of the circle= 3.14*(1)² = 3.14 square feet

Area of the largest radius= 3.14*(2)²= 12.56 square feet

Hence Kiley would need glass of area between 3.14 and 12.56 square feet

step-by-step explanation: