Arc Length & Sector Area of Circles

Arc Length and Sector Area

​Dr. Tom Giles

Fill in the Blank

What is the arc measure of half a circle?

Fill in the Blank

What is the arc measure of 1/4 of a circle?

Multiple Choice

Find the measure of arc KJ.

• $$50\degree$$

• $$61\degree$$

• $$69\degree$$

• $$180\degree$$

Multiple Choice

Find the measure of arc EFG

• $$105\degree$$

• $$115\degree$$

• $$165\degree$$

• $$220\degree$$

Multiple Choice

Find the measure of arc GJ.

• $$40\degree$$

• $$85\degree$$

• $$180\degree$$

• $$220\degree$$

Multiple Choice

Find the measure of arc EF.

• $$46\degree$$

• $$92\degree$$

• $$147\degree$$

• $$180\degree$$

Multiple Choice

Find the measure of arc CX.

• $$50\degree$$

• $$100\degree$$

• $$125\degree$$

• $$180\degree$$

Multiple Choice

Find the measure of angle E.

• $$60\degree$$

• $$120\degree$$

• $$180\degree$$

• $$90\degree$$

Multiple Select

Choose the correct equations for CIRCUMFERENCE.

• $$C\ =\ 2\pi r$$

• $$C\ =\ \pi r^2$$

• $$C\ =\ \pi d$$

• $$C=\frac{\pi d}{2}$$

Multiple Choice

Find the CIRCUMFERENCE of the circle. (Use your calculator)

• 9 in

• 18.8 in

• 27 in

• 30.2 in

Multiple Choice

Choose the correct equation for AREA.

• $$A\ =\ 2\pi r$$

• $$A\ =\ \pi r^2$$

• $$A\ =\ \pi^2d$$

• $$A=\frac{\pi d}{2}$$

Multiple Choice

Find the AREA. (Use a calculator)

• 36 in²

• 92.5 in²

• 178.6 in²

• 254.5 in²

Multiple Choice

Choose the correct equation to solve for LENGTH of the bolded arc.

• $$arc\ length\ =\frac{90}{360}\cdot2\pi\left(6\right)$$

• $$arc\ length\ =\frac{90}{360}\cdot2\pi\left(12\right)$$

• $$arc\ length\ =\frac{6}{360}\cdot2\pi\left(90\right)$$

Multiple Choice

Calculate the LENGTH of the bolded arc.

• 7 yd

• 16.5 yd

• 23.2 yd

• 25 yd

Multiple Choice

Calculate the LENGTH of the bolded arc.

• 25.7 ft

• 38.9 ft

• 42.1 ft

• 66.3 ft

Multiple Choice

Choose the correct equation to solve for the AREA of the sector.

• $$Sector\ Area=\frac{210}{360}\pi\left(15\right)^2$$

• $$Sector\ Area=\frac{150}{360}\pi\left(15\right)^2$$

• $$Sector\ Area=\frac{15}{360}\pi\left(150\right)^2$$

Multiple Choice

Calculate the AREA of the bolded sector.

• 170 mi²

• 113.5 mi²

• 149.6 mi²

• 221.5 mi²

Multiple Choice

Calculate the AREA of the bolded sector.

• 73.2 yd²

• 101.7 yd²

• 128.3 yd²

• 300 yd²