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2 years ago

1. ABCD is a square with side length 12 cm.

Mathematics

1 answer:

AnnyKZ [126]2 years ago

5 0

Answer:

Exact Area of shaded region = 141.39cm²

Step-by-step explanation:

Quadrant of a circle - Quadrant refers to the four quarters in the coordinate plane system. Each of the four sections is called a quadrant. When it comes to circle, the quarter of a circle is called a quadrant, which is a sector of 90°.

area of circle =πr²

area of quadrant of a circle = πr²/4

where r is the radius of the circle.

In the given figure there are 2 types of quadrants of circle are present

one with radius AB (bigger )

another with radius AB/2 (smaller)

Now area of quadrant having radius = AB

⇒ π(AB) ²/4

here AB is the side of square

so AB = 12cm

substituting this in the area of quadrant formula

area of bigger quadrant = π(12²)/4

area₁ = 144×π/4

area₁ = 144×3.142/4

area₁ = 113.112cm²

now area of smaller quadrant = π(AB/2) ²/4

area ₂ = π(6) ²/4

area ₂ = 36π/4

area ₂ = 9×π

area ₂ = 28.278cm²

Now it is clear from the given figure,

area of shaded region is = area₁ - area₂ +2×area₂

= 113.112cm² - 28.278cm² + 2× 28.278cm²

= 113.112cm² + 28.278cm²

= 141.39cm² (answer)

learn more on surface area at

brainly.com/question/16560289

#SPJ10

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Step-by-step explanation:

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