Question

Find the ratio of the areas of the yellow region to the red region in the given figure consisting of right
triangles
12 cm
5 cm​

Answer 1

Answer:

this is your Answer hope it helps you

Step-by-step explanation:

⇒ 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