Question

Can you show your work as well please and thank you!!!

Answer 1

`69.85in^2`

Explanation:

To work out an area of a sector, the general formula is
`\pi r^2*(\theta)/(360)` where theta
`(\theta)` is the angle.

To work out the total angle of the shaded area:

`360 - (143* 2)\\= 360 - 286\\= 74`

Now we know the angle, we work out the area (To nearest hundredth, 2d.p.):

`\pi*(10.4in)^2*(74)/(360)\\ = 69.85 in^2`

Hope this helps!!!