Question

PLS I NEED HELP ASAP !! WILL GIVE 35 POINTS !!

A windmill has a diameter of about 210 feet and
its circumference is about 660 feet. A smaller version of this windmill has a circumference of about 376 feet. What is the radius of this smaller windmill? A. 130 feet B. 80 feet C. 120 feet D. 60 feet ​

Answer 1

D. 60 feet.

Explanation:

Radius of big windmill = 1/3 * 210 = 105 ft.

The 2 windmills are similar in shape so

C/R = c/r where C and R refer to big windmill and c and r are the circumference and radius of the smaller one.

So 660/105 = 376/ r

r = (105 * 376)/660

= 60 feet.

Answer 2

the radius of the smaller windmill is approximately 60 feet (option D).

Explanation:

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.

For the larger windmill:

C = 660 feet

2πr = 660

r = 330/π

r ≈ 105.1 feet

For the smaller windmill:

C = 376 feet

2πr = 376

r = 188/π

r ≈ 59.8 feet

Therefore, the radius of the smaller windmill is approximately 60 feet (option D).