Question

Arc math problem Thanks

Answer 1

Answer:

area of greater arc/sector=300/360 ×πr²=5/6 ×π10²=250π/3 ft²

Answer 2

Answer:

Option D

Step-by-step explanation:

17). Area of a sector of a circle = $\frac{\theta}{360}(\text{Area of the circle})$

                                                  = $\frac{\theta}{360}(\pi r^{2} )$

     Here 'r' = radius of the circle

     From the picture attached,

     r = 10 ft

     θ = 300°

    Area of the sector = $\frac{300}{360}[\pi (10)^{2}]$

                                    = $\frac{5}{6}(100\pi )$

                                    = $\frac{250\pi}{3}$

    Area of the sector = $\frac{250\pi}{3}$ ft²

   Therefore, Option (D) will be the correct option.