In the figure below (see attachment), the larger circle has a radius of 6 cm, and the smaller circle has a radius of 2 cm. What is the approximate area of the shaded region?

Question

anonymous · Answer

attachment

anonymous · Answer

Can you help me with this too, @campbell_st ?

campbell_st · Answer

find the area of the small circle radius 2 centimetres

then the area of the large circle, radius 6 cm

the area between is  Large circle - Small circle

the shared part is a fraction 30/360  of the area... 

when you get the area between the circles multiply it by  30/360

to get the answer. 

Hope it makes sense

anonymous · Answer

Oh, I see! 6 - 2 = 4. Use the formula for area of a sector of a circle, which is: measure of arc ab/360 * pi r sqrd. 

So: 30/360 * pi (4) sqrd = 30/360 * pi16 = 4.2? @campbell_st

campbell_st · Answer

no its big circle - small circle 

$$shaded = 6^2 \pi - 2^2 \pi$$

$$36\pi - 4\pi = 32\pi$$

then multiply the answer by 1/12