find the perimeter of the adjoining figure, which is semicircle including its diameter.
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Diameter of the circle (d)=10cm
Radius of the circle (r)=d/2=10/2=5cm
Total perimeter of the circle (P)=2πr
=31.43cm
Perimeter of the semi-circle= P/2
=15.71cm
Therefore,
Perimeter of the figure= (15.71+10)cm
= 25.71cm
Answered by
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Perimeter of the semicircle is 25.71 cm.
- The complete length of a semicircle's boundary is considered to be its perimeter. Straight-edged forms are simple to compute the perimeter of since all the sides of a square may be summed to get the perimeter. Since a semicircle is the half of a circle with a curved and a straight boundary, the perimeter of a semicircle has a different formula.
- It is computed by multiplying the diameter's length by the original circle's halved circumference.
Here, according to the given information, we are given that,
The diameter of the semicircle = 10 cm.
Now, we know that,
The perimeter of the semicircle is,
Here, d is the diameter which is given as 10 cm.
Then, the perimeter =
Hence, perimeter of the semicircle is 25.71 cm.
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