The total aTherea of 3 blades of a fan is (5)/(2)pi m^(2) . Two of the blades form an angle of 30° and the third blade forms an angle of 40° at the center.find the radius of the arc
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ans: 3m
Step-by-step explanation:
- area sector =πr² * theta/360°
- The total area of the three sectors made by the blades would be the sum of the areas made by individual blades.
- Finding the radius:
- total area swept
=πr².theta1/360+πr².theta2/360+πr². theta3/360
=πr².30+30+40/360
5/2πm²=πr².30+30+40/360
5/2π=πr².100/360
r²=5/2.36/10
r=3m
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