Answer:
1. Which of the following is the formula in finding the area of a semi-circle?
2. What is the radius of the semi-circle if the diameter is 100 mm?
Given :
to find :
- the radius of semi-circle with diameter
Solution :
- the half of diameter is equivalent to radius.
- half of 100 is 50 mm
therefore,
- the radius of the semi circle is 50mm.
3. What is the area of the semi-circle with a radius of 0.4 km?
- D. 25.12 sq. km
- solution below
Given :
to find :
- the area of semi-circle using radius
solution :
- A = πr2
- As = [tex]\frac{1}{2}[/tex]πr2
- As = [tex]\frac{1}{2}[/tex]π(0.4)2
- As =[tex]\frac{1}{2}[/tex] (3.14159)(0.4 squared =) (0.16)
According to the Question :
- 0.16 x 3.14159 x 5 = 25.12 sq. km
therefore,
- the area of semi-circle is 25.12 sq. km
4. Find the area of a semi-circle whose diameter is 50 cm?
Given :
to find :
- the area of a semi-circle using diameter\
Solution :
- D = 2r
- R = [tex]\frac{1}{2}[/tex] of diameter
- if diameter of the circle is 50, that means half of the circle is equivalent to radius
- R = 25 cm
- As = [tex]\frac{1}{2}[/tex]πr2
- As = [tex]\frac{1}{2}[/tex] (3.14159) (25) 2
According to the Question :
- As = 25 squared = 625 x 3.14159 x 0.5 = 981.25 sq. cm
therefore,
- the area of semi-circle is 981.25 sq. cm
5. Marissa has a circular bed cover with a diameter of 5 m. If she is going to cut it in half, how many square meters will she have in each part.
Given :
to find :
- how many square meters will she have if she cut circular bed cover in half?
Solution :
- Cut (semi-circle) area = (pi) 3.14159 x 2.5 (half of diameter) = 19.625 sq. m
- 19.625 divided by 2 = 9.815 sq. m
therefore,
- she will have 9.815 sq. m if she cut the circular bed cover.
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