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.

Question

asked Jan 20, 2023 95.3k views

1 Answer

Melv · Answer 1 · 2023-01-27T00:14:00+0000

Answer:

7.3 cm

Step-by-step explanation:

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

$A=\pi r^2$

Given that: A=42, π=3.14, then:

$\begin{gathered} 42=3.14* r^2 \\ r^2=(42)/(3.14) \\ r^2=13.38 \\ r=\sqrt[]{13.38} \end{gathered}$

Next, determine the diameter.

$\begin{gathered} \text{Diameter}=\text{Radius}*2 \\ =2*\sqrt[]{13.38} \\ =7.3\operatorname{cm} \end{gathered}$

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