Question

Circle A has a Circumference of approximately 314.159 feet. Circle B has a diameter that is half the size of Circle A. Which is the best approximation of the diameter of Circle B?

Answer 1

The diameter of circle B is 50 cm.

Explanation:

Given,

The circumference of circle A = 314.159 ft

Diameter of Circle B is half of the diameter of circle A.

Let, the radius of circle A is r

To find the diameter of circle B

Formula

Circumference of a circle of radius r = 2πr

According to the problem,

2πr = 314.159

or, r =
`(314.159)/(2X3.14)`

= 50 (approx)

So,

The diameter of circle A = 2×50 cm = 100 cm

The diameter of circle B = 50 cm.