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Sagot :
Given a circle with radius "r", the area (A) and the circumference (C) of the circle are:
[tex]\begin{gathered} A=\pi r^2 \\ C=2\pi r \end{gathered}[/tex]To solve this question, follow the steps below.
Step 01: Use the formula of circumference to find the radius "r".
Given C = 43.96 cm, then:
[tex]43.96=2\pi r[/tex]Dividing both sides by 2π and using π = 3.14:
[tex]\begin{gathered} \frac{43.96}{2\pi}=\frac{2\pi}{2\pi}r \\ 7=r \\ r=7cm \end{gathered}[/tex]Step 02: Use the value of r to find the area.
Knowing that r = 7 cm:
[tex]\begin{gathered} A=\pi r^2 \\ A=\pi *7^2 \\ A=49\pi \end{gathered}[/tex]Using π = 3.14:
[tex]\begin{gathered} A=49*3.14 \\ A=153.86cm^2 \end{gathered}[/tex]Answer: área = 153.86 cm².
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