Question

Henry constructed Circle a with a radius of 10 units. He then created a sector as shown in the figure below period which of the following expressions would help him find the area of the shaded sector

Answer 1

b. 240/360 (100pi)

1. 120°/360° = x/100pi (the area of the circle)
2. cross multiply
3. find an equal expression

Answer 2

Answer:

$\frac{120^{\circ}}{360^{\circ}} \times 100\pi$

Step-by-step explanation:

Radius of Circle : 10 units

Measure of angle of given sector = 120°

Formula of area of sector = $\frac{\theta}{360^{\circ}} \times \pi r^2$

Substitute the values in the formula .

Area of sector = $\frac{120^{\circ}}{360^{\circ}} \times \pi (10)^2$

                        = $\frac{120^{\circ}}{360^{\circ}} \times 100\pi$

So, Option 2 is correct.

Hence the expression would help him find the area of the shaded sector  is $\frac{120^{\circ}}{360^{\circ}} \times 100\pi$