Respuesta :

cerverusdante

Answer:

55.68 square units

Step-by-step explanation:

To fond the area of a circle of diameter 8.42, we are using the area formula for a circle:

[tex]A=\frac{1}{4} \pi d^{2}[/tex]

where

[tex]A[/tex] is the area of the circle

[tex]d[/tex] is the diameter of the circle

We know from our problem that the diameter of our circle is 8.42, so [tex]d=8.42[/tex]. Replacing the values in our formula:

[tex]A=\frac{1}{4} \pi d^{2}[/tex]

[tex]A=\frac{1}{4} \pi (8.42)^{2}[/tex]

[tex]A=55.68[/tex] square units

We can conclude that the area of a circle of diameter of 8.42 units is 55.68 square units.

kudzordzifrancis

Answer:

[tex]A\ =55.65 \: square units[/tex]

step-by-step explanation :

Area of a circle with diameter 8.42

The area of a circle is given as

[tex]A\ =\pi ({ \frac{d}{2} })^{2} [/tex]

where d is the diameter.

Substituting into the formula :

[tex]d = 8.42 \: unts \: [/tex]

[tex]\pi = 3.14[/tex]

This implies that,

[tex]A\ =3.14 \times ({ \frac{8.42}{2} })^{2}[/tex]

We simplify to obtain :

[tex]A\ =55.65 \: square units[/tex]