The radius of one circle is 3 times the radius of the other. Find the area of the larger circle if the area

The radius of one circle is 3 times the radius of the other. Find the area of the larger circle if the area of the smaller circle is 14 cm2.

The radius of the large circle is denoted as Rb, the radius of the smaller circle is Rm. According to the condition of the problem, the radius of the large circle is three times the radius of the small one – Rb = 3 * Rm.
The area of the larger circle Sb = P * (Rb) 2
The area of the smaller circle Sm = P * (Rm) 2 = 14, from where we can find out the radius
(Rm) 2 = S / P = 14 / 3.14 = 4.458
Rm = 2.11 cm, now we can find the radius of the larger circle
Rb = 3 * Rm = 3 * 2.11 = 6.33 and, accordingly, the area
Sb = P * (Rb) 2 = 3.14 * (6.33) 2 = 125.9 cm2
Answer: the area of the larger circle is 125.9 cm2