Question

.
Two radii OA and OB form an angle of 60° for two concentric circles with 8 cm and 5 cm radii,
respectively. Calculate the area of the circular trapezoid formed by the radii and concentric circles.​

Answer 1

question----Two radii OA and OB form an angle of 60° for two concentric circles with 8 cm and 5 cm radii,

respectively. Calculate the area of the circular trapezoid formed by the radii and concentric circles.

answer----Let r

1

=8cm,r

2

=5cm,θ=60

∘

=

3

π

Area of sector is given by

2

1

r

2

θ

A1 = Area of bigger sector =

2

64

×

3

π

=

3

32π

A2 = Area of smaller sector =

2

25

×

3

π

=

6

25π

Area of trapezoid =A1–A2

=

3

32π

−

6

25π

=

2

13π

=20.4cm

2

_______thank you____