Answer:
Length of arc AD = 15.7 cm
Step-by-step explanation:
Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]
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 = [tex]\frac{(113.6)}{360}(2\pi )(7.9)[/tex]
= [tex]\frac{113.6}{360}(2)(3.14)(7.9)[/tex]
= 15.655 cm
≈ 15.7 cm
Length of arc AD = 15.7 cm
