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Nesterboy [21]
3 years ago
5

Please help me with this question

Mathematics
1 answer:
Vinvika [58]3 years ago
3 0
Tan(angle) = opposite/adjacent
tan(x) = 90/51
x = arctan(90/51)
x = 60.461217740442
which rounds to 60 when rounding to the nearest whole number

Answer: 60


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A central angle of a circle is 90 degrees. If the diameter of the circle is 12 cm, what is the area of the segment created by co
Yanka [14]
<h3>The area of the segment created by connecting the two points on the circle created by the angle described is 28.26 square centimeter</h3>

<em><u>Solution:</u></em>

Given that,

A central angle of a circle is 90 degrees

diameter of the circle is 12 cm

radius = 12/2 = 6 cm

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<em><u>The area of sector when angle is in degrees is:</u></em>

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

Where,

r is radius

\theta is angle in degrees

Therefore,

Area\ of\ sector = \frac{90}{360} \times 3.14 \times 6^2\\\\Area\ of\ sector = 0.25 \times 3.14 \times 36\\\\Area\ of\ sector = 28.26

Thus area of the segment created by connecting the two points on the circle created by the angle described is 28.26 square centimeter

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