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:
![\text{Area of sector}= \dfrac{\theta}{360^\circ}\times \pi r^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20sector%7D%3D%20%5Cdfrac%7B%5Ctheta%7D%7B360%5E%5Ccirc%7D%5Ctimes%20%5Cpi%20r%5E2)
Radius of circle (r)=7 in
![\theta = 60^\circ](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2060%5E%5Ccirc)
Substitute the value into formula and find area of sector.
![\text{Area of blue sector}= \dfrac{60}{360}\times3.14\times 7^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20blue%20sector%7D%3D%20%5Cdfrac%7B60%7D%7B360%7D%5Ctimes3.14%5Ctimes%207%5E2)
![\text{Area of blue sector}= 25.643\approx 25.64\text{ in}^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20blue%20sector%7D%3D%2025.643%5Capprox%2025.64%5Ctext%7B%20in%7D%5E2)
Hence, The area of blue sector is 25.64 in²