Question

Q4 Consider two circles a smaller one and a larger one.Of the larger one has a radius that is 3 feet larger that of the smaller circle and the ratio of the circumference is 2:1 what are the radii of the two circles?​

Answer 1

Step-by-step explanation:

Given :- There are 2 circles one is larger and one is smaller,

Larger circle has a radius 3 feet larger that of the smaller circle,

The ratio of the circumference is 2:1.

To find out :- Radius of two circles.

Solution :-

Answer 2

Answer:

Step-by-step explanation:

let, the radius of the smaller circle be x

therefore, the radius of a larger circle =(x+3)feet

circumference of smaller circle=2*pi*x

circumference of larger circle=2*pi*(x+3)

it is given that the ratio of the circumference is 2:1

$\frac{2\pi (x+3)}{2\pi x} =\frac{2}{1} \\\frac {x+3}{x} =2\\\\2x=x+3\\x=3$

therefore, the radius of the smaller circle=3 feet

                  the radius of a larger circle =(x+3)feet=6feet