Question

8. What is the radius of the largest circular disk (in inches) that can be cut from a strip of metal 15" X 21"? (A) 7 (B) 7.5 (C) 10.5 (D) 15 (E) 15.75

Answer 1

C: 7.5

maximum diameter of a circular disk is equal to 15 so radius is half of diameter

Answer 2

The radius of circle = 7.5 inches

Given:

The measurements of metal strip = 15" × 21"

To find:

The radius of the largest circular disk (in inches) that can be cut from a strip of metal

Solution:

Given that measurements of metal strip = 15" × 21"  

here, 15" width of the metal and 21" is length of metal strip

If we cut a circle taking width as diameter

[ we can't take 21 as diameter since it is less than 15" ]

Diameter of circle d = 15"

As we know radius of circle r = d/2

Radius of circle r = 15" /2 = 7.5 inches

The radius of circle = 7.5 inches

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