Complete the following questions utilizing the concepts introduced in this unit.
1. Find the length of an arc in a circle of radius 10 centimeters subtended by the
central angle of 50°. Show your work.
Arc length is given by
0 x 2𝜋r
3600
50 x 2𝜋(10)
3600
25𝜋 ≅ 8.726cm
9
2. Graph on [-4π, 4π] and verbalize how the graph varies from the graphs of.
Graph on the window [−5π, 5π] and describe freely what the graph shows. You
can use www.desmos.com/calculator to obtain the graphs.
Graph of 𝑦 = 𝑥 × sin 𝑥 𝑓𝑜𝑟 [−4𝜋, 4𝜋]
1. Find the length of an arc in a circle of radius 10 centimeters subtended by the
central angle of 50°. Show your work.
Arc length is given by
0 x 2𝜋r
3600
50 x 2𝜋(10)
3600
25𝜋 ≅ 8.726cm
9
2. Graph on [-4π, 4π] and verbalize how the graph varies from the graphs of.
Graph on the window [−5π, 5π] and describe freely what the graph shows. You
can use www.desmos.com/calculator to obtain the graphs.
Graph of 𝑦 = 𝑥 × sin 𝑥 𝑓𝑜𝑟 [−4𝜋, 4𝜋]
