Given:
A figure of a circle with radius 8. The central angle of the blue sector is 60 degrees.
To find:
The area of the blue sector.
Solution:
Area of a sector is:
[tex]A=\pi r^2\dfrac{\theta}{360^\circ}[/tex]
Where, r is the radius and [tex]\theta [/tex] is the central angle of the sector in degrees.
Putting [tex]r=8, \theta=60^\circ, \pi=3.14[/tex], we get
[tex]A=(3.14)\cdot (8)^2\cdot \dfrac{60^\circ}{360^\circ}[/tex]
[tex]A=(3.14) \cdot (64)\cdot \dfrac{1}{6}[/tex]
[tex]A=33.49333....[/tex]
Approximate the value to the nearest tenth.
[tex]A\approx 33.5[/tex]
Therefore, the area of the blue sector is about 33.5 sq. units.
