Answer:
Length of arc AD = 15.7 cm
Explanation:
Length of arc =
![(\theta)/(360)(2\pi r)](https://img.qammunity.org/2022/formulas/mathematics/high-school/9klrzn8q6fvotmqxaebzsz70mgznh1o842.png)
Here, θ = Central angle subtended by the arc
r = radius of the circle
From the picture attached,
Central angle subtended by arc AD = 360° - (180° + 66.4°)
= 113.6°
Length of arc AD =
![((113.6))/(360)(2\pi )(7.9)](https://img.qammunity.org/2022/formulas/mathematics/college/i68an9i5oesdgvntkvu8ntam00k1478kb7.png)
=
![(113.6)/(360)(2)(3.14)(7.9)](https://img.qammunity.org/2022/formulas/mathematics/college/4xgkni0t2y0p4guvrdmrz9ow2dgglqgpj1.png)
= 15.655 cm
≈ 15.7 cm
Length of arc AD = 15.7 cm