Answer: The area of the circle= 56.25/π
Step-by-step explanation: With the circumference of the circle already given, we can work backwards to determine the value of the radius.
The circumference of a circle is calculated as
Circumference= 2πr
Since the circumference is already known, we can now express it as;
15 = 2πr
Divide both sides of the equation by 2
7.5 = πr
If we cross multiply we now have
7.5/π = r
Having calculated the radius as 7.5/π, the area can be derived as
Area d a circle = πr²
Area of a circle = π x (7.5/π)²
Area of a circle = π x (56.25/π²)
Area of a circle = 56.25/π
The area of the circle in terms of pi is given as 56.25/π
