The circumference of the circle is 76 cm. what is the area? using 3.14 for pi round to the nearest square cm

Question

asked Jul 5, 2023 205k views

1 Answer

Quyen Anh Nguyen · Answer 1 · 2023-07-10T02:51:17+0000

The circumference of a circle is gotten using the formula below;

$\begin{gathered} C=2\pi r \\ \text{Where r is the radius of the circle} \end{gathered}$

Step 1: Let's find the value of the radius;

$\begin{gathered} C=2\pi r \\ r=(C)/(2\pi) \\ r=(76)/(2*3.14) \\ r=(76)/(6.28) \\ r=12.10\operatorname{cm} \end{gathered}$

Step 2: The area of the circle is given as;

$\begin{gathered} A=\pi r^2 \\ \text{Where r is the radius of the circle} \\ A=3.14*(12.10)^2 \\ A=459.73 \\ A=460\operatorname{cm}^2 \end{gathered}$

Hence, the area of the circle is 460 square centimeters.