Answer:
Area = 2.33 mm²
Step-by-step explanation:
Perimeter of quarter circle = 14.28
But
Perimeter of quarter circle = 2πr+2r
So
2πr+2r = 14.28
6.3r+2r = 14.28
8.3r = 14.28
r = 14.28/8.3
r = 1.7 mm
Now the Area
Area of quarter circle = 1/4(πr²)
= 1/4(3.14)(1.7)²
= 1/4(3.14)(2.97)
= 1/4(9.34)
= 2.33 mm²