Answer:
Area of the circle=[tex]100\pi[/tex] square units
Step-by-step explanation:
Circumference of the circle = [tex]20*\pi[/tex]
Finding the radius of the circle by using the formula of the circumference of the circle;
Circumference of a circle = [tex]2*\pi *r[/tex]
[tex]20*\pi[/tex] = [tex]2*\pi *r[/tex]
Dividing by '[tex]\pi[/tex]' both side:
[tex]20=2*r[/tex]
Dividing by '2' both side:
[tex]r=20/2\\[/tex]
[tex]r=10units[/tex]
Radius= 10 units
Area of the circle= [tex]\pi *r*r[/tex]
[tex]=\pi *10*10[/tex]
[tex]=100*\pi[/tex]
Area of the circle=[tex]100\pi[/tex] square units
