Question

Find the area of the shaded region in the figure below, if the radius of the outer circle is 12 and the radius of the inner circle is 8. Keep your answer is terms of n​

Answer 1

339.29

Explanation:

total circle area = 452.39

why?

because area of circle equation = pi * r^2

pi is the weird symbol. pi = 3.14

r = radius

r = 12

3.14 * 12^2 = 452.389342

simplified to 452.39.

but that is the whole thing.

we want only the shaded area.

first we will find the area the not shaded bit. then we will minus the total area, 452.39, by the not shaded bit so we only have the shaded bit.

again, area of circle equation = pi * r^2

r = 6.

3.14 * 6^2 = 113.097336

this is the not shaded bit. it can be simplified to 113.1

total area - not shaded bit = shaded bit

452.39 - 113.1 = 339.29

good job! if theres anymore questions, ask in the comments! ^__^