20,586 views
10 votes
10 votes
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.

User Vvra
by
3.3k points

1 Answer

24 votes
24 votes

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.).

User Sam Krygsheld
by
2.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.