A fan has 3 equally spaced blades. The central dial has an area of 3π cm2. Leng

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A fan has 3 equally spaced blades. The central dial has an area of 3

π

cm

^{2}

. Length of each blade is (20-

\sqrt{3}

)cm. If a triangle is drawn from the tips of the blades, find its area.

Options:

A . 900 sq cm

B . 300 √3 sq cm

C . 900 sq cm

D . 400√3 sq units

Answer: Option B
:
B
Ans: b) 300

\sqrt{2}

sq cm
Soln: Radius of the dial at the centre:

\sqrt{\frac{3 π}{π}}

total length of the blade from the centre: (20-

\sqrt{3}

)+

\sqrt{3}

; = 20.
Half of each side: 30 cos 30. = 10

\sqrt{3}

. Total length of each side: 20

\sqrt{3}

.
Thus , area:

(\frac{\sqrt{3}}{4}) (20 \sqrt{3})^{2}

. =300

\sqrt{2}

sq cm

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