Question

HELP PLEASE ASAP!!! Khan Academy unit test!

Answer 1

Answer:

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 = $\dfrac{9}{17} \pi$ radian

Let The area of sector = A unit²

Now, According to question

Area of sector = π× radius × radius × $\frac{\Theta }{360^{\circ}}$

Or, A = π× r × r × $\frac{\Theta }{360^{\circ}}$

Or, A = π× r × r ×$\frac{\frac{9}{17}\Pi }{360^{\circ}}$

where  π = 3.14

∵ 180° = π radian

So, 360° = $\frac{\Pi }{180^{\circ}}\times 360^{\circ}$ = 2 π radian

Or,, A = π× r × r × $\frac{\frac{9}{17\Pi }}{2\Pi }$

Or, A =  π× r × r × $\dfrac{9}{34}$

Or, A = 3.14 × 3 unit × 3 unit × $\dfrac{9}{34}$

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