Question

Brainliest if your right and if it lets me Find the area of the blue sector. Please Can I Get Some Help! (^_^)

Answer 1

Let's see

Area of sector

$\\ \rm\Rrightarrow \dfrac{\theta}{360}\pi r^2$

$\\ \rm\Rrightarrow \dfrac{150}{360}\pi (4)²$

$\\ \rm\Rrightarrow \dfrac{5}{12}\pi (16)$

$\\ \rm\Rrightarrow \dfrac{5}{3}\pi(4)$

$\\ \rm\Rrightarrow \dfrac{20\pi}{3}$

$\\ \rm\Rrightarrow 20.9cm²$

Answer 2

Answer:

20.9

Step-by-step explanation:

area of a sector of a circle = (Ф/360) × πr²

where Ф = central angle of sector and r = radius

here the sector has a central angle of 150° and a radius of 4

so Ф = 150 and r = 4

we have A = (Ф/360) × πr²

==> plug in Ф = 150 and r = 4

A = (150/360) × π(4)²

==> evaluate the exponent

A = (150/360) × 16π

==> simplify 16π

A = (150/360) × 50.3

==> multiply 150/360 by 50.3

A = 20.9