Answer:
[tex]\frac{175\pi }{4}[/tex] [tex]m^{2}[/tex]
Step-by-step explanation:
The diameter of the circle is 30.
The radius is half the diameter, so it is 30/2=15.
The area of the entire circle is π times the radius squared, so π*15^2=225π.
The degree of the yellow sector is a straight angle (180°) minus 110°, which is 70°.
If the entire circle is 360° and the portion we're looking for is 70°, then the fraction would be 70/360 or 7/36.
Multiply 7/36 by the total area and you get [tex]225\pi *\frac{7}{36} =\frac{225\pi *7}{36} =\frac{175\pi }{4}[/tex]
[tex]\frac{175\pi }{4}[/tex] [tex]m^{2}[/tex] is the answer.
