Question

I have tried doing this question for 20 minutes but I just can't get the answer, (add maths circular measure)

the answer is 17.2cm² supposedly​

Answer 1

Answer: A(shaded)=17.15 cm²

Explanation:

What you did so far is correct.

Given:

r=5

s=6

Solve for Ф angle:

s=
`(part circle)/(wholecircle) 2\pi r` This way help you find the portion/percent you want

6=(Ф/360) (2
`\pi`5) >solve for Ф Divide by (2
`\pi`5) and multiply by 360

Ф=68.75

Solve for pie/sector

Now that you have the angle, you can use the same concept for area

Area of sector =
`(part circle)/(wholecircle) \pi r^(2)`

Area of sector =
`(68.75)/(360) \pi 5^(2)`

Area of sector = 15.0 cm²

Now let find y so we can plug into area of triangle

use tan Ф = opposite/adjacent

tan 68.75 = y/5

y=5 * tan 68.75

y=12.86 cm

Area of triangle = 1/2 b h b=y=12.86 h =5

Area of triangle = 1/2* 12.86*5

Area of triangle = 32.15 cm²

Now subtract area of sector from triangle

A(shaded)=A(triangle)-A(sector)

A(shaded)=32.15- 15.0

A(shaded)=17.15 cm²

Answer 2

17.2 cm²

Explanation:

Alr let me try

The angle is 1.2 you got it right. The rest is in the pics