The largest possible circular...

Question

disc is cut out of a rectangular piece of tin that is 6 inches by 9 inches. What is the area in square inches of the remaining piece of tin?

Choices:

A-22.5

B-25.7

C-28.3

D-30.4

E-32.6

Full Explanation will be given five stars.

Answer 1

The largest circle would have a diameter of 6 inches and thus a radius of 3 inches.

The area of the circle is (pi)*3^2, which is about 28.3 square inches.

The total area of the original piece is 6*9=54 square inches, so the amount left is 54-28.3=25.7

So your answer is B. 25.7

Answer 2

B-25.7 is the right answer.

explanation: rectangular area R = height*width = 6*9 = 54 (square inch)

if disk is cut by possible maximum then its diameter will be 6 inch. so radius will be diameter/2 = 3 . Disk area D = (pi)*radius*radius (circle area formula) = 3.1412 * 3 * 3 = 28.274

so remaining part = R - D = 54 - 28.274 = 25.7