Arcs and Sectors

A circle has a diameter of 15 in.

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

Find the Area of the arc in the diagram.

Area =  

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 = (a)     $$units\ ^2$$  

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. 

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

What is the area of the sector JGI if IG = 12ft?

What is the length of arc JO if GO is 6cm?

What is the area of sector UGO if JL = 18 cm?

Which of the following shows $$150\degree$$  in standard positon?