Question

Rafael is building a circular table with a diameter of 2.5 feet. The wood costs $32.50 per square foot. How much will it cost Rafael to make the table? Use 3.14 to approximate π. Enter your answer in the box.

Answer 1

Step-by-step explanation:

It is given that Rafael needs to make a circular table.

The cost of the table is given as $32.50 per square foot.

And this brings us to a hint: We need to find the area of circle whose diameter is 2.5 feet.

Now, remember that :-

Diameter = 2 × Radius

2.5 = 2 × Radius

Radius = 2.5/2

Radius = 1.25 feet

Now, apply the formula of area of circle :-

$\sf{\pi \times r^2}$

Where r is the radius of circle .

$\sf{3.14 \times (1.25)^2}$

$\sf{3.14 \times 1.5625}$

So, the approximate area is 4.9 square feet.

Now, we need the cost.

1 square foot = $32.50

4.9 square feet = 32.50 × 4.9

= $159.25 is the required cost.

Answer 2

Answer:

Given :-

• Diameter = 2.5 ft
• Wood cost $32.50 per sq. foot

To Find :-

Cost

Solution :-

At first Finding radius

Radius = Diameter/2

Radius = 2.5/2

Radius = 1.25 ft

Now

Area = πr²

Area = 3.14 × (1.25)²

Area = 3.14 × 1.5625

Area = 5 ft

Now

Cost = 32.5 × 5

Cost = $162.50