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your answer on
1. The radius of a circular rug is 20cm. What is its area?
2. A circular tablecloth has a diameter of 60cm. What is the area of the table that can be
covered by the cloth?
3. What is the area of a circular garden with a diameter of 5m?
4. Mr. Amador is making a circular tabletop with a radius of 24cm. How much material does
she need?
5. A stage that is circular in shape is being constructed. Its diameter is 19.5m. What is the area
of the stage?​


Sagot :

Answer:

1.10,666.66cm³

2.904,320cm³

3.523.33m³

4.57,876.48cm³

5.31,043.61m³

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Area of Circle is given by the formula:

A = πr²

where

A = Area

π = 3.14

r = radius*

* if length is given in diameter (d), simply divide diameter by 2 to get the radius. r = d/2

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#1.

A = ?,  when r = 20 cm

A = πr²

A = 3.14 (20)²

A = 3.14 (400)

A = 1256 cm²

[tex]\large\boxed{\boxed{A = 1256 \;cm^2}}[/tex]

#2.

A = ?,  when d = 60 cm*

* r = d/2 = 60/2 = 30 cm

A = πr²

A = 3.14 (30)²

A = 3.14 (900)

A = 2826 cm²

[tex]\large\boxed{\boxed{A = 2826 \;cm^2}}[/tex]

#3.

A = ?,  when d = 5 m*

* r = d/2 = 5/2 = 2.5 m

A = πr²

A = 3.14 (2.5)²

A = 3.14 (6.25)

A = 19.63 m²

[tex]\large\boxed{\boxed{A = 19.63 \;m^2}}[/tex]

#4.

A = ?,  when r = 24 cm

A = πr²

A = 3.14 (24)²

A = 3.14 (576)

A = 1808.64 cm²

[tex]\large\boxed{\boxed{A = 1808.64 \;cm^2}}[/tex]

#5.

A = ?,  when d = 19.5 m*

* r = d/2 = 19.5/2 = 9.75 m

A = πr²

A = 3.14 (9.75)²

A = 3.14 (95.0625)

A = 298.50 m²

[tex]\large\boxed{\boxed{A = 298.50 \;m^2}}[/tex]

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