Find the area of the shaded segment. Round your answer to the nearest square centimeter. 24 cm2 23 cm2 21 cm2 22 cm2

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Question:

Find the area of the shaded segment. Round your answer to the nearest square centimeter.

a) 24 cm²

b) 23 cm²

c) 21 cm²

d) 22 cm²

d) 22 cm²

Step-by-step explanation:

We have Area and a Triangle in that diagram.

In other to find the shades segment , we have to find the Area of the triangle and the Area of the sector

Step 1

Area of a Triangle

= 1/2 × a × b × sin θ

Where θ = 120°

a = 6 cm

b = 6 cm

Area of the triangle = 1/2 × 6 × 6 × sin 120°

= 15.59 cm²

Step 2

Area of the sector

The formula is given as

Area = πr²θ/360

r = radius = 6cm

Area = π × 6² × 120/ 360

Area = 37.699111843cm²

Approximately = 37.70 cm²

Step 3

The Area of the shaded segment = Area of the sector - Area of the triangle

= 37.70cm² - 15.59cm²

= 22.11 cm²

Approximately to the nearest square centimeter

= 22 cm²

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

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