Question

Please help quickly! Will give brainliest if i can! :)

Answer 1

Answer:

He set up the proportion incorrectly.

Step-by-step explanation:

Juan was able to determine that the area of circle = 16$\pi$.

Area of a sector = (θ/$360^{0}$) × $\pi r^{2}$

⇒ Area of a sector = (θ/$360^{0}$) × area of circle

                               = (θ/$360^{0}$) ×16$\pi$

where θ is the value of the angle formed by the two radii and r is the value of the radius.

So that,

Area of a sector  = $\frac{150^{0} }{360^{0} }$ × 16$\pi$

                            = 6.67$\pi$

The area of a sector is 6.67$\pi$ $cm^{2}$.

Juan made an error by setting up the proportion incorrectly.

Answer 2

Answer:

He set up the proportion incorrectly. The area of a sector is the area of the entire circle x the proportion of the angle.

Area of sector = 16PI x 150/360 = 20.94 square cm.