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

the circumference of the circle is 76 cm. what is the area? using 3.14 for pi round-example-1
User Jasonjwwilliams
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11 votes

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.

User James Ikubi
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