Question

Find the area of the circle in the sector.

Answer 1

Answer:

The area of sector is 40π km² or 126 km²

Step-by-step explanation:

The picture above is a Major Sector. So you have to use the formula, A = θ/360×π×r² where r represent the radius of the circle :

$area = \frac{θ}{360} \times \pi \times {r}^{2}$

Let θ be 225°,

Let r be 8 km,

$A = \frac{225}{360} \times \pi \times {8}^{2}$

$A = \frac{5}{8} \times \pi \times 64$

$A = 40\pi \: {km}^{2}$

$A = 126 \: {km}^{2} \: (3s.f)$

Answer 2

Answer:

Area of circle: S =pi*(8^2)=64pi=201.06

Area of sector: S = pi*(8^2)*(225/360)=40*pi = 125.66