Answer:
4050 cm²
Step-by-step explanation:
This is a question of scale factors:
The radius of the larger circle is 9× that of the smaller circle;
This is the linear scale factor of the enlargement of the smaller to larger circle;
The scale factor of the area pertains to 2 dimensions so the scale factor will be the square of the linear scale factor, which is:
9² = 81
The area of the larger circle is found by the area of the smaller circle multiplied by this number:
50 × 81 = 4050
