Question

The diameter of the circle is doubled. Which statement describes the area of the new circle compared to the old?
A) the area is 1/2 times the original
B) the area is 2 times the original
C) the area is 1/4 the original
D) The area is 4 times

Answer 1

Answer:

Answer D:  4 times larger

Step-by-step explanation:

Recall that d = 2r.

Try this comparison:

Area of larger circle           π(2·d/2)²

--------------------------------  =  -------------- = 4

Area of smaller circle         π(d/2)²

The area of the larger circle will be 4 times that of the smaller circle.