Find the diameter of a circle that has an area of 42 cm2. Use 3.14 for pi and round to the nearest tenth of a centimeter. 07.3 cm. 3.7 cm. 26.8 cm 13.4 cm.

Respuesta :

Answer:

7.3 cm

Explanation:

The area, A of a circle of radius r is defined below:

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

Given that: A=42, π=3.14, then:

[tex]\begin{gathered} 42=3.14\times r^2 \\ r^2=\frac{42}{3.14} \\ r^2=13.38 \\ r=\sqrt[]{13.38} \end{gathered}[/tex]

Next, determine the diameter.

[tex]\begin{gathered} \text{Diameter}=\text{Radius}\times2 \\ =2\times\sqrt[]{13.38} \\ =7.3\operatorname{cm} \end{gathered}[/tex]

The diameter of the circle is 7.3cm (to the nearest tenth of a centimeter.).