In this page semicircle we are going to see how to find area and perimeter (circumference) of a semi-circle. To understand this topic much better we have given different kinds of example problems.
Semicircle is exactly half the entire circle.
Area of Semi-circle = (1/2) Π r²
Perimeter of semi circle = (Π + 2)r
Here r represents the radius of the circle. Now let us see example problems based on the above formula.
Example 1:
Find the area of the semi-circle whose radius is 7 cm.
Solution :
Area of Semi-circle = (1/2) Π r²
Here r= 7 cm and Π = 22/7
= (1/2) x (22/7) x 7²
= (1/2) x (22/7) x 7 x 7
= 1 x 11 x 7
= 77 cm²
Example 2 :
Find the area of the semi-circle whose radius is 3.5 cm.
Solution :
Area of Semi-circle = (1/2) Π r²
Here r = 3.5 cm and Π = 22/7
= (1/2) x (22/7) x (3.5)²
= (1/2) x (22/7) x 3.5 x 3.5
= 1 x 11 x 0.5 x 3.5
= 19.25 cm²
Example 3 :
Find the circumference of the semi-circle whose diameter is 7 cm.
Solution :
r = diameter/2 ==> r = 7/2 ==> r = 3.5
Now we can apply the formula
Circumference of semi-circle = (Π + 2)r
here r = 3.5 and Π = 22/7
= [(22/7) + 2]x 3.5
= (22+14) x 0.5
= 36 x 0.5
= 18 cm
Example 4 :
Find the circumference of the semi-circle whose diameter is 42 cm.
Solution :
r = diameter/2 ==> r = 42/2 ==> r = 21
Now we can apply the formula
Circumference of semi-circle = Πr
here r = 21 and Π = 22/7
= (22/7) x 21
= 22 x 3
= 66 cm
Example 5 :
Find the circumference of the semi-circle whose diameter is 56 cm.
Solution :
r = diameter/2 ==> r = 56/2 ==> r = 28
Now we can apply the formula
Circumference of semi-circle = Πr
here r = 28 and Π = 22/7
= (22/7) x 28
= 22 x 4
= 88 cm
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