Chapter 1: Q41. (page 3)

Find the circumference and area of each circle. Round to nearest tenth.

Expert verified

$\begin{array}{l} Circumference C = 12.6 m \\ Area A = 12.6 m^{2} \end{array}$

Step by step solution

In the given circle, observe that the radius is 2 m, that is, $r = 2 m$

The circumference and area of a circle of radius r are given by

$\begin{array}{l} Circumferenceofacircle C = 2 π r \\ Areaofacircle A = π r^{2} \end{array}$

In order to find the circumference of the circle, use the above formula and substitute 2 for r and simplify further as shown below:

$\begin{array}{l} Circumferenceofcircle \\ C = 2 π (2) \\ C = 12.6 m \end{array}$

In order to find the area of the circle, use above formula ad substitute 2 for r and simplify further as shown below

$\begin{array}{l} A = π {(2)}^{2} \\ A = 4 π \\ A = 12.6 m^{2} \end{array}$

Therefore,

$\begin{array}{l} Circumferenceofgivencircle C = 12.6 m \\ Areaofgivencircle A = 12.6 m^{2} \end{array}$

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