Arc Length and Sector Area - Partner Activity

This is an engaging and collaborative partner activity in which students will use the formulas for arc length and sector area.

There are 12 sections as in each partners are given a central angle θ in degrees and the radius r of a circle. In each odd section Partner A has to find the area of the subtended sector and Partner B has to calculate the length of the intercepted arc. And in each even section Partner A has to find the length of the intercepted arc and Partner B has to compute the area of the formed sector. This is a cute way to help students remember the formulas for arc length and sector area. Student may convert the degrees into radians and use the formulas A=0.5θ r^2 and s=rθ (θ must be in radians) or they can use the formulas A=(θ/360) πr^2 and s=(θ/360) 2πr ( here θ must be in degrees). The given central angle θ is <90 degrees ; 90<θ<180; 180<θ<270 and 270<θ<360 degrees. The activity instructions don’t require that students round to the nearest tenth/hundredth/thousandth so they may leave their answers with pi or they may use the pi button on their calculator to obtain the answers, depends on teacher’s decision. The activity sheets can be used as response sheets. Recording sheet where students to show their detailed calculations is provided as well.

Answer keys are included.