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

Question

A sector with a central angle measure of \purpleD{175\degree}175°start color #7854ab, 175, degree, end color #7854ab has a radius of \maroonD{12\,\text{cm}}12cmstart color #ca337c, 12, start text, c, m, end text, end color #ca337c.

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Thiên Thanh 1 week 2021-07-22T07:54:01+00:00 1 Answers 1 views 0

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    2021-07-22T07:55:13+00:00

    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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