The diagram shows 3 identical circles inside a rectangle. each circle touches the other two circles and the sides of a rectangle as shown in digram radius of each circle is 28mm work out area of rectangle give answer to 3 significant figures
Answers
Given : 3 identical circles inside a rectangle. each circle touches the other two circles and the sides of a rectangle
Radius of each circle = 28 mm
To Find : Area of Rectangle
Solution:
R = Radius of Circle = 28 mm
Joining Center of Circles will form an Equilateral Triangle of side = 2R
One side of Rectangle = R + 2R + R = 4R
Another Side of Rectangle = R + Height of Triangle + R
=2R + Height of Triangle
Height of Triangle = √2R² - R² = √3 R
= 2R + √3 R
= (2 + √3) R
Area of Rectangle = 4R * (2 + √3) R
= 4 (2 + √3) R²
R = 28 mm
= 4 (2 + √3) (28)²
= 11,703.7 mm²
or 117 cm²
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Answer:
11700
Step-by-step explanation:
