Question

Find the length of arc AD. Use 3.14 for .

Answer 1

Answer:

Length of arc AD = 15.7 cm

Step-by-step explanation:

Length of arc = $\frac{\theta}{360}(2\pi r)$

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 = $\frac{(113.6)}{360}(2\pi )(7.9)$

                             = $\frac{113.6}{360}(2)(3.14)(7.9)$

                             = 15.655 cm

                             ≈ 15.7 cm

Length of arc AD = 15.7 cm