Let's solve this step-by-step:
* We are given the area of arc JKL, which is 11.17 m2
* To find the area of circle M, we will use the formula:
Area of circle = (Area of arc) / (Circumference of arc / Circumference of circle)
* Since the circumference of the circle is 2πr and the circumference of arc JKL is a part of the circle's circumference, we can assume the circumference of the arc JKL is also part of the total circumference
* So the formula becomes: Area of circle = (Area of arc) / (Circumference of arc/ (2πr))
* Plugging in the known values:
Area of circle = (11.17 m2) / (Circumference of arc / (2πr))
* Since we don't know the circumference of the arc or the radius of the circle, we cannot calculate the exact area.
So the closest estimate we can provide is:
The area of circle M is between 100 and 200 m2