Choose all that compute the correct area of the circle. The area of a circle with a diameter of 5 cm. A ≈ 19.63 cm2 The area of a circle with a radius of 3 cm. A ≈ 28.27 cm2 The area of a circle with a diameter of 4 cm. A ≈ 50.27 cm2 The area of a circle with a radius of 7 cm. A ≈ 153.94 cm2

Respuesta :

Area of a circle with radius "r" can be found using the formula :

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

Also we have radius = diameter / 2

So let us find area of all the given diameter or radius.

(1)

we are given diameter =5cm

So first finding radius, radius = diameter/2 =5/2 =2.5

Now plugging this value of radius in the formula for area we have,

[tex] Area = \pi (2.5)^{2} [/tex]

[tex] Area = 3.14 * 6.25 [/tex]

Area =19.625 cm² or Area =19.63 cm²

So first answer is correct

(2)

radius =3cm

Plugging this value in the formula for area ,

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

[tex] Area = 3.14* (3)^{2} [/tex]

[tex] Area = 3.14*9 [/tex]

Area =28.26cm²

(3)

Diameter =4cm

Radius = 4/2 =2 cm

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

[tex] Area = 3.14* 2^{2} [/tex]

Area =12.56 cm²

(4)

Radius =7cm

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

[tex] Area = 3.14 * 7^{2} [/tex]

[tex] Area = 3.14 * 49 [/tex]

Area =153.86 cm²

Answer:

19.63cm^2

28.16cm^2

153.86cm^2