Answer: 60.52 cm
Step-by-step explanation:
The white semicircle's radius is 16cm/2 = 8cm
The shaded semicircle's radius is 20cm/2 = 10 cm
To find the circumference (outer perimeter) of the white semicircle, we would normally do 2[tex]\pi[/tex]r, but as it is half size, we do [tex]\pi[/tex]r, which is 8[tex]\pi[/tex].
The circumference of the shaded gray semicircle is also [tex]\pi[/tex]r, which is 10[tex]\pi[/tex]
We should not forget to subtract 16cm from 20cm, as that is part of one of the sides in this figure.
With this information, the answer is 18[tex]\pi[/tex] + 4, or if you take [tex]\pi[/tex] as 3.14, the perimeter of this figure is 60.52 cm.
Answer:
How to Use Perimeter of a Semicircle Calculator?
Use the steps given below to find the perimeter of a semicircle. This circumference of semicircle formula calculator is easy to use and gives you the result within seconds.
Step 1: Enter the radius of the semi-circle in the given input box.
Step 2: Click on the "Calculate" button to find the perimeter of a semicircle.
Step 3: Click on the "Reset" button to clear the fields and find the perimeter of a semicircle for different values.
How to Find Perimeter of a Semicircle?
The diameter of a circle divides the circle into two equal semicircles. The area of any semicircle is half of the area of a circle. To find the perimeter of a semicircle we need to add the curved section of the semicircle and the length of the diameter at the bottom of the semicircle. Let us see how to work out the perimeter of a semicircle using the formula given below:
The perimeter of a semi-circle = πr + 2r, where 'r is the radius of the semi-circle.
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Solved Examples on Perimeter of a Semicircle Calculator
Example 1:
Find the perimeter of the semicircle if the radius is 5 units.
Solution:
The perimeter of the semicircle = πr + 2r
= (π × 5) + (2 × 5)
= 15.707 + 10
= 25.707 units.
Therefore, the perimeter of the semi-circle is 25.707 units. You can verify the result with the semicircle perimeter calculator given on this page.
Example 2:
Find the perimeter of the semicircle if the radius is 7 units.
Solution:
The perimeter of the semicircle = πr + 2r
= (π × 7) + (2 × 7)
= 21.98 + 14
= 35.98 units.
Therefore, the perimeter of the semi-circle is 35.98 units. This answer can be verified with the semicircle perimeter calculator given on this page.
Example 3:
Find the perimeter of the semicircle if the radius is 12 units.
Solution:
The perimeter of the semicircle = πr + 2r
= (π × 12) + (2 × 12)
= 37.68 + 24
= 61.68 units.
Therefore, the perimeter of the semi-circle is 61.68 units. You can verify the result with the circumference of semicircle calculator given on this page.
Similarly, you can try the calculator to find the perimeter of the semi-circle using the following radii.
1) Radius = 8 units
2) Radius = 12 units
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