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earnstyle [38]
3 years ago
6

A sector with a central angle measure of \purpleD{175\degree}175°start color #7854ab, 175, degree, end color #7854ab has a radiu

s of \maroonD{12\,\text{cm}}12cmstart color #ca337c, 12, start text, c, m, end text, end color #ca337c.
Mathematics
1 answer:
Alisiya [41]3 years ago
8 0

Answer: 219.94\ cm^2

Step-by-step explanation:

Given

The central angle of a sector measures 175^{\circ}

The radius of the circle is r=12\ cm

The area of the sector is given by

\Rightarrow A=\dfrac{\theta }{360^{\circ}}\pi r^2

Insert the values

\Rightarrow A=\dfrac{175^{\circ}}{360^{\circ}}\cdot \pi \times 12^2\\\\\Rightarrow A=219.94\ cm^2

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3 years ago
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