the form ula for the area of a circle can be found by using a parallelogram. explain the way to derive the formula

Mathematics

2 answers:

USPshnik [31]2 years ago

7 0

Answer:

Sample response: The circle can be cut into slices, separated, and fit together to form a parallelogram that has the same area. The height of the parallelogram is the radius and the base is half the circumference, which is

vladimir2022 [97]2 years ago

4 0

Answer:

Explanation: As you make the segments smaller and smaller, the parallelogram becomes more of a rectangle with shorter side equal to the radius of the circle r and longer side πr - half of the circumference of the circle. Hence we get the formula πr2 for the area of a circle of radius r .

Step-by-step explanation:

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Please help me show my work for, Larry has a piece of wood that is 2.45 feet long and 2.097 inches wide. Part B: Using the width

Lelechka [254]

Answer: 0.43ft²

Step-by-step explanation:

You didn't really specify part A but In assuming that the question you posted is part A. Anyways in this case, area will be calculated by multiplying the length by the width.

Since the piece of wood has a length that is 2.45 feet and width that is 2.097 inches, then the area will be:

= 2.45 × 0.17475

= 0.4281375 ft²

= 0.43ft² to nearest hundredths

Note 1 foot = 12 inches

Therefore, 2.097 inches = 2.097/12 = 0.17475 feet

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