Question

"Find the area of the larger circle if the circumference of one of the smaller circles is 36 pi mm.

Answer 1

Answer:

The area of the larger circle is 4069.44 millimeter square.

Step-by-step explanation:

Given : The circumference of one of the smaller circles is 36 pi mm.

To find : The area of the larger circle?

Solution :

Circumference of the smaller circle is $C=36\pi$

Circumference of circle is $C=2\pi r$

Substitute the value,

$36\pi=2\pi r$

$r=18$

The radius of smaller circle is 18 mm.

The radius of larger circle is twice the radius of smaller circle.

Radius of the larger circle, R= 2(r)=2(18)=36 mm  

Area of the larger circle is $A=\pi R^2$

$A=\pi 36^2$

$A=1296\pi$

$A=4069.44mm^2$

Therefore, The area of the larger circle is 4069.44 millimeter square.

Answer 2

C ( smaller ) = 36 π mm
2 r π = 36 π  / : π
2 r = 18 mm
Radius of the larger circle: r = 2 · 18 = 36 mm
A = r² π = 36² π = 1296 π mm²
Answer: area of the larger circle is 1296 π mm².