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

step-by-step explanation:

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15 units use socratic

step-by-step explanation: 15 units