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Charles has a circular carpet in his drawing room. He wants to put a circular table in middle of the carpet. The diameter of the table is 4 meters. Calculate how much area of carpet is left after putting the table in place

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calculista

Answer:

[tex]100.48\ m^2[/tex]

Step-by-step explanation:

The complete question in the attached figure

we know that

To find out how much area of carpet is left after putting the table in place, subtract the area of the table from the area of the carpet

Remember that

The area of a circle is equal to

[tex]A=\pi r^{2}[/tex]

step 1

Find the area of the carpet

we have

[tex]r=12/2=6\ m[/tex] ----> the radius is half the diameter

assume

[tex]\pi =3.14[/tex]

substitute

[tex]A=(3.14)(6)^{2}=113.04\ m^2[/tex]

step 2

Find the area of the circular table

we have

[tex]r=4/2=2\ m[/tex] ----> the radius is half the diameter

assume

[tex]\pi =3.14[/tex]

substitute

[tex]A=(3.14)(2)^{2}=12.56\ m^2[/tex]

step 3

Subtract the areas

[tex]113.04-12.56=100.48\ m^2[/tex]

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ashishdwivedilVT

100.53m² area of carpet is left after putting the table in place.

It is given that

Diameter of circular carpet = 12m

So, the radius of circular carpet = 6m

Diameter of the circular table = 4m

So, the radius of the circular table = 2m

If Charles puts a circular table in the middle of the carpet, it will look like there are two concentric circles with a radius of 6m and 2m.

What are concentric circles?

Concentric circles are circles with a common center.

Left out area = area of circular carpet- the area of circular table

Left out area = [tex]\pi 6^{2} -\pi 2^{2}[/tex]

left out area = 100.53 m²

Therefore, 100.53m² area of carpet is left after putting the table in place.

To get more about concentric circles visit:

https://brainly.com/question/8994066

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