PLEASE HELP Jackson has a table with a square top and he wants to buy a circular piece of lace
that will cover the entire top of the table. The top of the table has side lengths of 12
inches, as shown.
12 in
12 in
What is the area, in square inches, of the smallest circular piece of lace Jackson could buy? Round your answer to the nearest tenth​

452.38

Step-by-step explanation:

I'm pretty sure this is incorrect(or doesn't correlate to this problem) but in the slight chance it is correct here's what I found:

How to Calculate the Area

The area of a circle is:

π (Pi) times the Radius squared:A = π r2

or, when you know the Diameter:A = (π/4) × D2

or, when you know the Circumference:A = C2 / 4π

Example: What is the area of a circle with radius of 3 m ?

circle radius 3

Radius = r = 3

Area= π r2

 = π × 32

 = 3.14159... × (3 × 3)

 = 28.27 m2 (to 2 decimal places)

How to Remember?

circle area pi r-squared (but pies are round!)

To help you remember think "Pie Are Squared"

(even though pies are usually round)

Comparing a Circle to a Square

It is interesting to compare the area of a circle to a square:

circle area is about 80% of square

A circle has about 80% of the area of a similar-width square.

The actual value is (π/4) = 0.785398... = 78.5398...%

Why? Because the Square's Area is w2

and the Circle's Area is (π/4) × w2

Example: Compare a square to a circle of width 3 m

Square's Area = w2 = 32 = 9 m2

Estimate of Circle's Area = 80% of Square's Area = 80% of 9 = 7.2 m2

Circle's True Area = (π/4) × D2 = (π/4) × 32 = 7.07 m2 (to 2 decimals)

The estimate of 7.2 m2 is not far off 7.07 m2

A "Real World" Example

Example: Max is building a house. The first step is to drill holes and fill them with concrete.

The holes are 0.4 m wide and 1 m deep, how much concrete should Max order for each hole?

circle auger

The holes are circular (in cross section) because they are drilled out using an auger.

The diameter is 0.4m, so the Area is:

circle area example

A = (π/4) × D2

A = (3.14159.../4) × 0.42

A = 0.7854... × 0.16

A = 0.126 m2 (to 3 decimals)

And the holes are 1 m deep, so:

Volume = 0.126 m2 × 1 m = 0.126 m3

So Max should order 0.126 cubic metres of concrete to fill each hole.

Note: Max could have estimated the area by:

1. Calculating a square hole: 0.4 × 0.4 = 0.16 m2

2. Taking 80% of that (estimates a circle): 80% × 0.16 m2 = 0.128 m2

3. And the volume of a 1 m deep hole is: 0.128 m3

You can find all this on https://www.mathsisfun.com/geometry/circle-area.html

I really hope this helps and helps for the future, I'm sorry if it's wrong though.

the answer is b i just did that

step-by-step explanation:

add an image

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