Math, asked by kurubaneha2007, 5 months ago

21 cm
42 cm
42cm
(Hint: a +
+
2 2
42 = 21... Side of the square = 21 cm.)
14. Find the area of the shaded region in each of the following figures:​

Answers

Answered by bindhuaju
0

⇒ Here, Radius of circle r=7cm

⇒ Area of circle =πr

2

=

7

22

×(7)

2

=154cm

2

⇒ Side of equilateral triangle is 14cm.

⇒ Area of equilateral triangle =

4

3

×(side)

2 ⇒ Area of equilateral triangle =

4

3

×(14)

2

⇒ Area of equilateral triangle =

4

1.73

×196=84.87cm

2

⇒ ∠A=60

o

[ Angle of equilateral triangle ]

∴ θ=60

o

⇒ Area of sector =

360

o

θ

×πr

2

⇒ Area of sector =

360

o

60

o

×

7

22

×(7)

2

∴ Area of sector =25.66cm

2

⇒ Area of shaded region = (Area of circle + Area of equilateral triangle ) - 2×Area of sector

⇒ Area of shaded region =(154+84.87)−51.32=187.55cm

2

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