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Answer:
3) Area of sector is [tex]28.143 \ cm^2.[/tex]
4) The length of arc of semicircle is 22 cm.
Step-by-step explanation:
Question 3.
Given
angle subtended by arc Φ = 129°
radius = 5 cm
We need to find the Area of the sector.
Solution:
Area of the sector is equal to Angle divided by 360 multiplied by π multiplied by square of the radius
framing in equation form we get;
Area of the sector = [tex]\frac{129}{360}\times 5^2 \times \pi = 28.143 \ cm^2[/tex]
Hence Area of sector is [tex]28.143 \ cm^2.[/tex]
Question 4.
Given:
radius = 7 cm
angle subtended by arc Φ = 180°
We need to find the arc length of the semicircle.
Solution,
Length of arc is equal to Angle divided by 360 multiplied by 2 times π multiplied by radius.
framing in equation form we get;
Length of arc = [tex]\frac{180}{360}\times2\times \pi\times7=22 \ cm[/tex]
Hence The length of arc of semicircle is 22 cm.