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Olenka [21]
3 years ago
14

How do you answer this step by step

Mathematics
1 answer:
leonid [27]3 years ago
3 0
X/3 +4 = 5+x/6
6(x/3 +4 = 5+x/6)
2x+ 24 = 30 +x 
x= 6
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GCSE 995381
nikdorinn [45]

Answer:

2.9 cm^2

Step-by-step explanation:

Given,

Angle of sector = 30°

Radius of circle, r = 8 cm

Area of the shaded region, A =?

The diagram is attached below.

Now,

Area of shaded region = Area of sector - Area of triangle

Area of triangle = \frac{1}{2}\times base \times height

We know that,

\sin \theta = \dfrac{P}{H}

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And

\cos \theta =\dfrac{B}{H}

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B = \dfrac{8\times \sqrt{3}}{2}

B = 4\sqrt 3

Area of sector = \dfrac{\theta}{360^\circ}\times \pi r^2

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Area of triangle = \dfrac{1}{2} \times 4\sqrt 3 \times 4

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Area of shaded region = 16.75 - 13.85

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