Answer:
The area of blue sector is 25.64 in²
Step-by-step explanation:
In the given figure, we need to find the area of blue section whose central angle is 60°
Formula:
[tex]\text{Area of sector}= \dfrac{\theta}{360^\circ}\times \pi r^2[/tex]
Radius of circle (r)=7 in
[tex]\theta = 60^\circ[/tex]
Substitute the value into formula and find area of sector.
[tex]\text{Area of blue sector}= \dfrac{60}{360}\times3.14\times 7^2[/tex]
[tex]\text{Area of blue sector}= 25.643\approx 25.64\text{ in}^2[/tex]
Hence, The area of blue sector is 25.64 in²
