Find the perimeter of the given figure.
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Answers
Answer:
FIGURE TRIANGLE=6cm
P=3×side
= 3×2
=6cm
FIGURE SEMICIRCLE=5.5cm
P=1/2×2×22/7×3.5
=11/2
=5.5cm
Perimetre of whole figure=11.5cm
P of triangle + P of semicircle
=6cm+5.5cm
=11.5cm
Step-by-step explanation:
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To Find:
- Perimeter of the figure
Construction:
- Join the points, which now divide the figure into a triangle and a semicircle.
Solution:
Now the figure has 2 parts. A semicircle, whose arc's perimeter we need to find and a triangle whose perimeter to be found out too.
First we take the Semicircle.
Radius of semicircle = diameter/2 = 3.5cm/2 = 1.75cm
=> Length of the arc =
=> Length of the arc =
=> Length of the arc = 22 * 0.25
=> Length of the arc = 5.5cm ------(1)
Now, we take the triangle.
=> Perimeter of the triangle = Sum of all sides.
=> Perimeter of the triangle = 2 + 2 + 3.5
=> Perimeter of the triangle = 7.5cm
But we dont have to count the third side(3.5cm) bcoz it is not there as an outer side of the complete figure. This means, that the side of 3.5cm will not be considered while taking the perimeter of the whole figure bcoz it is an interior length. So we subtract it from the perimeter.
=> Perimeter of the triangle after removing the third side = 4cm -----(2)
=> Perimeter of whole figure = Length of arc + Sum of those 2 sides
From (1) & (2)
=> Perimeter of whole figure = (5.5 + 4)cm
=> Perimeter of whole figure = 9.5cm
Formula Used:
- Length of arc of a semicircle =
- Perimeter of triangle = Sum of all sides