Respuesta :
Answer:
Area of the circle = [tex]\frac{529}{4}[/tex] π m² or 132.25 π m²
Step-by-step explanation:
To find the area, we will follow the steps below.
First write down the formular for the circumference of a circle, then use the formula to find the radius of the circle after which you can now find the area of the circle.
That is;
C = 2πr
where c is the circumference of the circle and r is the radius of the circle
From the question given, circumference C = 23π
23π = 2π r
Divide both-side of the equation by 2π
23π/2π = 2πr/2π
23/2 = r
radius = [tex]\frac{23}{2}[/tex] m
Formula for calculating the area of a circle is given by;
A = πr²
where A= area of the circle and r is the radius of the circle
A = π ( [tex]\frac{23}{2}[/tex] )²
A = [tex]\frac{529}{4}[/tex] π m² or 132.25 π m²
Area of the circle = [tex]\frac{529}{4}[/tex] π m² or 132.25 π m²
