Question

Find the area of the shaded region [in terms of π(pi)] of the given figure.

Answer 1

Answer:

How do I find area shaded region?

I'm assuming that the sector at C has the same radius of 7cm .[Math Processing Error]

The area of a sector of a circle with radius r subtending an angle θ (in radians) is :

A=12r2θ

Now, let the sector at A have area A1, at B have area A2 and at C have area A3 .

A1=\asect. 1=12⋅(72)∠BAC(1)

A2=\asect. 2=12⋅(72)∠CBA(2)

A3=\asect. 3=12⋅(72)∠ACB(3)

A4=\aΔABC=1214⋅24=168(4)

\ashaded=A4−A1−A2−A3

\ashaded=168−722(∠CBA+∠BAC+∠ACB)

Using Angle Sum Property:

\ashaded=168−722(π)

\ashaded=168−49π2

Which is about

91.030979987..