The area of circle is 25π cm².
Step-by-step explanation:
Given,
Circumference of circle = 10π cm
Area of circle = A
We will find the radius of circle in order to calculate the area.
We know that;
Circumference of circle = 2πr
[tex]10\pi=2\pi r\\2\pi r=10\pi[/tex]
Dividing both sides by 2π
[tex]\frac{2\pi r}{2\pi}=\frac{10\pi}{2\pi}\\r=5\ cm[/tex]
The radius of circle is 5cm.
Area of circle = πr²
[tex]Area\ of\ circle=\pi (5)^2\\Area\ of\ circle=\pi*25\\Area\ of\ circle=25\pi \ cm^2[/tex]
The area of circle is 25π cm².
Keywords: area, circumference
Learn more about circumferences at:
- brainly.com/question/11229113
- brainly.com/question/11234838
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