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Sati [7]
3 years ago
5

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

Mathematics
2 answers:
tino4ka555 [31]3 years ago
7 0
B. 240/360 (100pi)

1. 120°/360° = x/100pi (the area of the circle)
2. cross multiply
3. find an equal expression
VLD [36.1K]3 years ago
5 0

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

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