Two circles of diameter 8 cm each are stuck together to form the given
figure. Find the perimeter of the figure. See Fig. b.
What is the area of the given figures?
Answers
Answer:
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The area of the figure is 50.28 cm² and the perimeter of the figure is 35.14 cm
Given:
The diameters of two circles = 8 cm
Both are stuck together
To find:
Find the perimeter and area of the figure.
Solution:
Formula used:
Perimeter of the circle = 2πr
Area of the circle = πr²
Where r is the radius of the circle.
Given the diameter of the circles, d = 8 cm
=> Radius of the circle r = 4 cm
Here half circle will form a complete circle,
From the formula, the Area of the circle = πr²
Area of the circles = π(4 × 4) = (3.14)(16) = 50.28
Area of the figure = 50.28 cm²
From the formula, Perimeter of the circle = 2πr
Perimeter of the circle = 2π(4) = 25.14 cm
As we can see that both circles are stuck within 3 cm
Then the diameter which is not intersected = 8 cm - 3 cm = 5 cm
Perimeter of the figure = 25.14 cm + 2(5cm)
= 25.14 cm + 10 cm
= 35.14 cm
Therefore,
The area of the figure is 50.28 cm² and the perimeter of the figure is 35.14 cm
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