Question

10 points. The diameters of two circles are in the ratio of 2:3. Find the area of the smaller circle if the area of the larger is 63π square meters.

Answer 1

$63 \times \frac{2}{3} = \frac{63 \times 2}{3} = \frac{126}{3} = 42$

The area of the smaller circle is

$42\pi \: square \: meters$