A circular tin is placed on a square if a side of the square is congruent to the diameter of the tin calculate the percentage of the square which remains uncovered give your answer to a decimal places

Answers

Answer 1

It should be noted that 21.46% of the square remains uncovered when the circular tin is placed on the square.

How to calculate the percentage

radius = side/2 = (side x sqrt(2))/2sqrt(2) = diagonal/2sqrt(2)

The area of the circular tin is pi times the radius squared, or:

Area of tin = pi x (diagonal/2sqrt(2))^2 = pi x (diagonal^2/8)

The area of the square is simply the side squared:

Area of square = side^2 = diagonal^2/2

Uncovered percentage = [(Area of square - Area of tin)/Area of square] x 100%

Uncovered percentage = [(diagonal^2/2) - (pi x diagonal^2/8)]/(diagonal^2/2) x 100%

Uncovered percentage = (4 - pi)/4 x 100% ≈ 21.46%

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Related Questions

help i need you help please please please please ​

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Some examples of cause and effect are the narrator was in contact with someone sick and he got sick;  the narrator was sick and he did not go to school, and the narrator was sick so the doctor prescribed some medicine.

What are cause-and-effect relationships?

Events are often related to each other; the cause is the event that triggers another, while the effect would be the event triggered. Here are some examples:

A war starts - Soldiers need to fight.You do not study for the exam - You fail the exam.

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A plant grew 17 inches in one year. 1 inch is approximately equivalent to 2. 5 centimetres. Approximately how much did the plant grow in centimetres?

Answers

Answer: Approximately 43 inches

Explanation:

If the plant grew 17 inches and each inch is equivalent to 2.5 cm, you would have to multiply 17 and 2.5.

17x2.5=42.5

And 42.5 is approximately 43.

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