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.

Answer 1

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

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