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goblinko [34]
2 years ago
10

Find the area of the shaded region. Round your answer to the nearest tenth. 120 degrees 6cm

Mathematics
1 answer:
scZoUnD [109]2 years ago
5 0

If the area of a semicircle and an isosceles triangle is 56.55 cm² and 18 cm². Then the area of the shaded region will be 38.55 cm².

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Then the area of the shaded region will be given by the difference between the area of the semicircle and the area of the isosceles triangle.

The area of the shaded region will be

Shaded area = area of semicircle - area of isosceles triangle

Then the area of the semicircle will be

Semicircle area = π 6² / 2

Semicircle area = π36/2

Semicircle area = 56.55 square cm.

The area of the isosceles triangle will be

Isosceles triangle area = 2 × (1/2) × 6 × 6 sin30°

Isosceles triangle area = 6 × 6 × 0.5

Isosceles triangle area = 18 square cm

Then the area of the shaded region will be

Shaded area = 56.55 - 18

Shaded area = 38.55 square cm

More about the geometry link is given below.

brainly.com/question/7558603

#SPJ1

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