Respuesta :

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.

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