Mathematics

The diagram shows 3 identical circles inside a rectangleEach circle touches two other circles and the sides of a rectangle as shown in a diagram The radius of each circle is 28mm. Work out the area of a rectangle Give the correct answer to three significant figures.

Posted 4 months ago

Answers (2)

Bob Brown 4 months ago

The area of the rectangle approximated to 3 significant figures is . Recall: Area of a rectangle = length width We are only given the radius of the three circles = 28 mm each We need to find the length and width of the rectangle. To do this, see the image in the attachment below. Referring to the image attached, you will understand how we derived the length and width of the rectangle. The width of the rectangle = The length of the rectangle = Find x using Pythagorean Theorem, which is: Where, Plug in the values and solve for x Therefore, Length of the rectangle = Area of the rectangle = length Therefore, the area of the rectangle to 3 significant figures will be approximately Learn more here: brainly.com/question/12932084

Jane Smith 4 months ago

Answer: 11700 Step-by-step explanation:

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