Circle

Circles, Sectors, and Arcs

Practice for next week's quiz!

Area, Circumference, and Arc Length

Use your formulas to solve the following questions about circles, sectors, and arcs.

Fill in the Blank

Find the length of the arc in the diagram. ROUND your final answer to 2 decimal places.

Arc length = ______cm

Fill in the Blank

A circle has a diameter of 15 in.

Find the circumference of the circle. Write your answer in terms of pi (For example: 10pi, 20pi, etc.)

Circumference = ______ inches

Multiple Choice

A circle has a diameter of 15 in.

Find the EXACT length of the arc corresponding to a sector with a central angle of $$150\degree.$$  

Arc Length = ______ inches

• $$\frac{\pi}{10}$$  

• $$36\pi$$  

• $$\frac{25\pi}{4}$$  

• $$\frac{15\pi}{2}$$  

Fill in the Blank

Find the Area of the arc in the diagram. You may ROUND your final answer to 2 decimal places. 

Area = ______ $$cm^2$$  

Fill in the Blank

Find the area of the sector shown in the picture.

$$r=10\ units$$  and the central angle measures  $$18\degree$$ . Write your answer in terms of pi (Ex: 10 pi, 20 pi, etc.)

Sector Area = ______  $$units\ ^2$$  

Fill in the Blank

A sector has an area of  $$35\ feet^2$$  . The central angle of the sector is  $$40\degree.$$

Find the area of the ENTIRE circle. 

Area = ______ $$feet^2$$  

Multiple Choice

The length of an arc with central angle  $$90\degree$$  is $$10\pi$$  cm. What is the RADIUS of the circle? 

• 40 cm

• 20 cm

• 10 cm

• 5 cm

Answer: 20 cm