Khan academy unit test!

a circle with radius 3 has a sector with a central angle of 9/17 π radians .

what is the area of the sector?

The area of sector is 7.48 unit²

Step-by-step explanation:

Given as :

The radius of circle = r = 3 unit

The measure of central angle =Ф = radian

Let The area of sector = A unit²

Now, According to question

Area of sector = π× radius × radius ×

Or, A = π× r × r ×

Or, A = π× r × r ×

where  π = 3.14

∵ 180° = π radian

So, 360° = = 2 π radian

Or,, A = π× r × r ×

Or, A =  π× r × r ×

Or, A = 3.14 × 3 unit × 3 unit ×

Or, A = 3.14 × 3 unit × 3 unit × 0.2647

∴   A = 7.48 unit²

So,The area of sector = A = 7.48 unit²

Hence, The area of sector is 7.48 unit²  Answer

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

it’s the first one your welcome