If the circumference of a circle measures 3/2pi cm, what is the area of the circle in terms of pi
Question
Nevaeh
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Answers ( )
The area of circle in terms of pi is [tex]\frac{9}{16}\pi \ cm^2.[/tex]
Step-by-step explanation:
Given,
Circumference of circle = [tex]\frac{3}{2} \pi[/tex] cm
Circumference of a circle is calculated by 2πr.
[tex]2\pi r=\frac{3}{2}\ pi[/tex]
Dividing both sides by 2π
[tex]\frac{2\pi r}{2\pi}=\frac{3}{2}\pi *\frac{1}{2\pi}\\r=\frac{3}{4}[/tex]
The radius of circle is [tex]\frac{3}{4}[/tex]
Area of circle = πr²
Area of circle = [tex]\pi *(\frac{3}{4})^2[/tex]
Area of circle = [tex]\pi *\frac{9}{16}[/tex]
Area of circle = [tex]\frac{9}{16}\pi[/tex] cm²
The area of circle in terms of pi is [tex]\frac{9}{16}\pi \ cm^2.[/tex]
Keywords: area, circle
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