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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.

Sagot :

Answer: [tex]219.94\ cm^2[/tex]

Step-by-step explanation:

Given

The central angle of a sector measures [tex]175^{\circ}[/tex]

The radius of the circle is [tex]r=12\ cm[/tex]

The area of the sector is given by

[tex]\Rightarrow A=\dfrac{\theta }{360^{\circ}}\pi r^2[/tex]

Insert the values

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

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