Question

the radius of a circle is 9 times of the radius of a smaller circle. the area of the smaller circle is 50 square cenimeters. what is the area of the larger circle​

Answer 1

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